New Geometry of Quantum Dynamics

Informacje na temat projektu

QUANTUM DYNAMICS

Identyfikator umowy o grant: 691246

DOI 10.3030/691246

Projekt został zamknięty

Data podpisania przez KE 7 Grudnia 2015

Data rozpoczęcia 1 Stycznia 2016

Data zakończenia 31 Grudnia 2019

Finansowanie w ramach

• EXCELLENT SCIENCE - Marie Skłodowska-Curie Actions

Koszt całkowity € 589 500,00

Wkład UE € 288 000,00

Koordynowany przez

INSTYTUT MATEMATYCZNY POLSKIEJ AKADEMII NAUK
Poland

CORDIS oferuje możliwość skorzystania z odnośników do publicznie dostępnych publikacji i rezultatów projektów realizowanych w ramach programów ramowych HORYZONT.

Odnośniki do rezultatów i publikacji związanych z poszczególnymi projektami 7PR, a także odnośniki do niektórych konkretnych kategorii wyników, takich jak zbiory danych i oprogramowanie, są dynamicznie pobierane z systemu OpenAIRE .

Rezultaty

Other (30)

Dissemination: NCG seminar (Trimming and growing of graphs for graph algebras)

D2 seminars and talks are the second tangible deliverable related to scientific output: we shall continuously collect recordings of the NCG Seminar at IMPAN as well as either slides or recordings from other seminars by the members of the team – and summarize them on a yearly basis (M12, M24, M36, M48) to monitor the dissemination. All deliverables of this type shall be available on the Web page and/or youtube channel.

Dissemination: NCG seminar (Noncommutative spectral geometry for quantum group homogeneous spaces)

D2 seminars and talks are the second tangible deliverable related to scientific output: we shall continuously collect recordings of the NCG Seminar at IMPAN as well as either slides or recordings from other seminars by the members of the team – and summarize them on a yearly basis (M12, M24, M36, M48) to monitor the dissemination. All deliverables of this type shall be available on the Web page and/or youtube channel.

Focus programme (Noncommutative metric geometry of C*-dynamical systems and graph C*-algebras)

D7 Focus Program at the Fields Insttute – is expected to be the final and summarising event of the project, the deliverable will be talks (recorded and slides)/abstracts of lectures/seminars during the event (in a form of the web page).

Simons Semester at the Banach Center (Noncommutative bordism of quantum fibrations)

D5 Simons Semester at the Banach Center: network-wide event planned at the Banach center, the deliverable will comprise talks (recorded and slides)/abstracts of lectures/ seminars during the event (in a form of the web page).

Proceedings (Trimming and growing of graphs for graph algebras)

D6 Proceedings: Banach Center Proceedings of the planned Simons Semester at IMPAN, Noncommutative geometry the next generation will contain the research papers submitted to the volume.

Special issue (Noncommutative spectral geometry for quantum group homogeneous spaces)

D8 Special issue of SIGMA: Special issue of Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) on New Geometry of Quantum Dynamics will be a closing volume summarising scientific achievements of the project with submitted papers by majority (if not all) participants.

Focus programme (Trimming and growing of graphs for graph algebras)

D7 Focus Program at the Fields Insttute – is expected to be the final and summarising event of the project, the deliverable will be talks (recorded and slides)/abstracts of lectures/seminars during the event (in a form of the web page).

Special issue (Trimming and growing of graphs for graph algebras)

D8 Special issue of SIGMA: Special issue of Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) on New Geometry of Quantum Dynamics will be a closing volume summarising scientific achievements of the project with submitted papers by majority (if not all) participants.

Research papers (Noncommutative bordism of quantum fibrations)

D1 research papers are the crucial deliverable, which monitors the scientific output of the project and the progress in the realisation of the project as well as the effectiveness of the collaborations. Since papers will be made available irregularly we shall update the information on them continuously, however, to effectively monitor the outcome we shall summarize the publications and collect them on a yearly basis (M12, M24, M36, M48). Deliverable shall be made available and through Arxives/web page.

Simons Semester at the Banach Center (Trimming and growing of graphs for graph algebras)

D5 Simons Semester at the Banach Center: network-wide event planned at the Banach center, the deliverable will comprise talks (recorded and slides)/abstracts of lectures/ seminars during the event (in a form of the web page).

Special issue (Noncommutative metric geometry of C*-dynamical systems and graph C*-algebras)

D8 Special issue of SIGMA: Special issue of Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) on New Geometry of Quantum Dynamics will be a closing volume summarising scientific achievements of the project with submitted papers by majority (if not all) participants.

Proceedings (Noncommutative bordism of quantum fibrations)

D6 Proceedings: Banach Center Proceedings of the planned Simons Semester at IMPAN, Noncommutative geometry the next generation will contain the research papers submitted to the volume.

Research papers (Noncommutative Borsuk–Ulam-type conjectures)

D1 research papers are the crucial deliverable, which monitors the scientific output of the project and the progress in the realisation of the project as well as the effectiveness of the collaborations. Since papers will be made available irregularly we shall update the information on them continuously, however, to effectively monitor the outcome we shall summarize the publications and collect them on a yearly basis (M12, M24, M36, M48). Deliverable shall be made available and through Arxives/web page.

Focus programme (Noncommutative spectral geometry for quantum group homogeneous spaces)

D7 Focus Program at the Fields Insttute – is expected to be the final and summarising event of the project, the deliverable will be talks (recorded and slides)/abstracts of lectures/seminars during the event (in a form of the web page).

Research papers (Trimming and growing of graphs for graph algebras)

D1 research papers are the crucial deliverable, which monitors the scientific output of the project and the progress in the realisation of the project as well as the effectiveness of the collaborations. Since papers will be made available irregularly we shall update the information on them continuously, however, to effectively monitor the outcome we shall summarize the publications and collect them on a yearly basis (M12, M24, M36, M48). Deliverable shall be made available and through Arxives/web page.

Dissemination: NCG seminar (Noncommutative metric geometry of C*-dynamical systems and graph C*-algebras)

D2 seminars and talks are the second tangible deliverable related to scientific output: we shall continuously collect recordings of the NCG Seminar at IMPAN as well as either slides or recordings from other seminars by the members of the team – and summarize them on a yearly basis (M12, M24, M36, M48) to monitor the dissemination. All deliverables of this type shall be available on the Web page and/or youtube channel.

Proceedings (Noncommutative spectral geometry for quantum group homogeneous spaces)

D6 Proceedings: Banach Center Proceedings of the planned Simons Semester at IMPAN, Noncommutative geometry the next generation will contain the research papers submitted to the volume.

Research papers (Noncommutative metric geometry of C*-dynamical systems and graph C*-algebras)

D1 research papers are the crucial deliverable, which monitors the scientific output of the project and the progress in the realisation of the project as well as the effectiveness of the collaborations. Since papers will be made available irregularly we shall update the information on them continuously, however, to effectively monitor the outcome we shall summarize the publications and collect them on a yearly basis (M12, M24, M36, M48). Deliverable shall be made available and through Arxives/web page.

Simons Semester at the Banach Center (Noncommutative metric geometry of C*-dynamical systems and graph C*-algebras)

D5 Simons Semester at the Banach Center: network-wide event planned at the Banach center, the deliverable will comprise talks (recorded and slides)/abstracts of lectures/ seminars during the event (in a form of the web page).

Proceedings (Noncommutative metric geometry of C*-dynamical systems and graph C*-algebras)

D6 Proceedings: Banach Center Proceedings of the planned Simons Semester at IMPAN, Noncommutative geometry the next generation will contain the research papers submitted to the volume.

Research papers (Noncommutative spectral geometry for quantum group homogeneous spaces)

D1 research papers are the crucial deliverable, which monitors the scientific output of the project and the progress in the realisation of the project as well as the effectiveness of the collaborations. Since papers will be made available irregularly we shall update the information on them continuously, however, to effectively monitor the outcome we shall summarize the publications and collect them on a yearly basis (M12, M24, M36, M48). Deliverable shall be made available and through Arxives/web page.

Special issue (Noncommutative Borsuk–Ulam-type conjectures)

D8 Special issue of SIGMA: Special issue of Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) on New Geometry of Quantum Dynamics will be a closing volume summarising scientific achievements of the project with submitted papers by majority (if not all) participants.

Focus programme (Noncommutative bordism of quantum fibrations)

D7 Focus Program at the Fields Insttute – is expected to be the final and summarising event of the project, the deliverable will be talks (recorded and slides)/abstracts of lectures/seminars during the event (in a form of the web page).

Focus programme (Noncommutative Borsuk–Ulam-type conjectures)

D7 Focus Program at the Fields Insttute – is expected to be the final and summarising event of the project, the deliverable will be talks (recorded and slides)/abstracts of lectures/seminars during the event (in a form of the web page).

Proceedings (Noncommutative Borsuk–Ulam-type conjectures)

D6 Proceedings: Banach Center Proceedings of the planned Simons Semester at IMPAN, Noncommutative geometry the next generation will contain the research papers submitted to the volume.

Dissemination: NCG seminar (Noncommutative Borsuk–Ulam-type conjectures)

D2 seminars and talks are the second tangible deliverable related to scientific output: we shall continuously collect recordings of the NCG Seminar at IMPAN as well as either slides or recordings from other seminars by the members of the team – and summarize them on a yearly basis (M12, M24, M36, M48) to monitor the dissemination. All deliverables of this type shall be available on the Web page and/or youtube channel.

Simons Semester at the Banach Center (Noncommutative Borsuk–Ulam-type conjectures)

D5 Simons Semester at the Banach Center: network-wide event planned at the Banach center, the deliverable will comprise talks (recorded and slides)/abstracts of lectures/ seminars during the event (in a form of the web page).

Special issue (Noncommutative bordism of quantum fibrations)

D8 Special issue of SIGMA: Special issue of Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) on New Geometry of Quantum Dynamics will be a closing volume summarising scientific achievements of the project with submitted papers by majority (if not all) participants.

Dissemination: NCG seminar (Noncommutative bordism of quantum fibrations)

D2 seminars and talks are the second tangible deliverable related to scientific output: we shall continuously collect recordings of the NCG Seminar at IMPAN as well as either slides or recordings from other seminars by the members of the team – and summarize them on a yearly basis (M12, M24, M36, M48) to monitor the dissemination. All deliverables of this type shall be available on the Web page and/or youtube channel.

Simons Semester at the Banach Center (Noncommutative spectral geometry for quantum group homogeneous spaces)

D5 Simons Semester at the Banach Center: network-wide event planned at the Banach center, the deliverable will comprise talks (recorded and slides)/abstracts of lectures/seminars during the event (in a form of the web page).

Websites, patent fillings, videos etc. (1)

Dedicated Web page (Management)

D3 dedicated Web page shall be created at the beginning of the project and updated on a continuous basis: page will hold all information pertaining to the project: about secondments, dissemination (publications, preprints, talks, seminars) and events which involve and/or are related to the project. The internal section of the web page (which includes internal reports) shall be available to project team.

Documents, reports (2)

Progress report (Management)

Progress report will summarize the scientific achievements, secondments, dissemination and commmunication (outreach activities) by the participants. Deliverable shall be archived/stored at IMPAN, electronic vesions shall be available on the Web page.

Progress report 2 (Management)

Progress report will summarize the scientific achievements, secondments, dissemination and commmunication (outreach activities) by the participants. Deliverable shall be archived/stored at IMPAN, electronic vesions shall be available on the Web page.

Publikacje

Peer reviewed articles (42)

Continuity of spectral radius and type I $C^*$-algebras

Autorzy: Tatiana Shulman
Opublikowane w: Proceedings of the American Mathematical Society, Numer 147/2, 2019, Strona(/y) 641-646, ISSN 0002-9939
Wydawca: American Mathematical Society
DOI: 10.1090/proc/14169

Quantum actions on discrete quantum spaces and a generalization of Clifford’s theory of representations

Autorzy: Kenny De Commer, Paweł Kasprzak, Adam Skalski, Piotr M. Sołtan
Opublikowane w: Israel Journal of Mathematics, Numer 226/1, 2018, Strona(/y) 475-503, ISSN 0021-2172
Wydawca: Magnes Press
DOI: 10.1007/s11856-018-1709-x

I-factorial quantum torsors and Heisenberg algebras of quantized universal enveloping type

Autorzy: Kenny De Commer
Opublikowane w: Journal of Functional Analysis, Numer 274/1, 2018, Strona(/y) 152-221, ISSN 0022-1236
Wydawca: Academic Press
DOI: 10.1016/j.jfa.2017.09.005

Partial actions of $C^{*}$ -quantum groups

Autorzy: Franziska Kraken, Paula Quast, Thomas Timmermann
Opublikowane w: Banach Journal of Mathematical Analysis, Numer 12/4, 2018, Strona(/y) 843-872, ISSN 1735-8787
Wydawca: Banach Mathematical Research Group
DOI: 10.1215/17358787-2017-0056

Ribbon Braided Module Categories, Quantum Symmetric Pairs and Knizhnik–Zamolodchikov Equations

Autorzy: Kenny De Commer, Sergey Neshveyev, Lars Tuset, Makoto Yamashita
Opublikowane w: Communications in Mathematical Physics, Numer 367/3, 2019, Strona(/y) 717-769, ISSN 0010-3616
Wydawca: Springer Verlag
DOI: 10.1007/s00220-019-03317-7

Free products with amalgamation over central $\mathrm {C}^*$-subalgebras

Autorzy: Kristin Courtney, Tatiana Shulman
Opublikowane w: Proceedings of the American Mathematical Society, Numer 148/2, 2020, Strona(/y) 765-776, ISSN 0002-9939
Wydawca: American Mathematical Society
DOI: 10.1090/proc/14746

The field of quantum $$GL(N,\pmb {\mathbb {C}})$$ G L ( N , C )

Autorzy: Kenny De Commer, Matthias Floré
Opublikowane w: Selecta Mathematica, Numer 25/1, 2019, ISSN 1022-1824
Wydawca: Birkhauser Verlag
DOI: 10.1007/s00029-019-0456-0

Geometric Classification of Graph C*-algebras over Finite Graphs

Autorzy: Søren Eilers, Gunnar Restorff, Efren Ruiz, Adam P.W. Sørensen
Opublikowane w: Canadian Journal of Mathematics, Numer 70/2, 2018, Strona(/y) 294-353, ISSN 0008-414X
Wydawca: Canadian Mathematical Society
DOI: 10.4153/cjm-2017-016-7

A dynamical characterization of diagonal-preserving -isomorphisms of graph -algebras

Autorzy: SARA E. ARKLINT, SØREN EILERS, EFREN RUIZ
Opublikowane w: Ergodic Theory and Dynamical Systems, Numer 38/7, 2018, Strona(/y) 2401-2421, ISSN 0143-3857
Wydawca: Cambridge University Press
DOI: 10.1017/etds.2016.141

Projective Modules Over Quantum Projective Line

Autorzy: Albert Jeu-Liang Sheu
Opublikowane w: International Journal of Mathematics, Numer 28/03, 2017, Strona(/y) 1750022, ISSN 0129-167X
Wydawca: World Scientific Publishing Co
DOI: 10.1142/s0129167x17500227

Representations of higher-rank graph C⁎-algebras associated to Λ-semibranching function systems

Autorzy: Carla Farsi, Elizabeth Gillaspy, Palle Jorgensen, Sooran Kang, Judith Packer
Opublikowane w: Journal of Mathematical Analysis and Applications, Numer 468/2, 2018, Strona(/y) 766-798, ISSN 0022-247X
Wydawca: Academic Press
DOI: 10.1016/j.jmaa.2018.08.051

Projections over quantum homogeneous odd-dimensional spheres

Autorzy: Albert Jeu-Liang Sheu
Opublikowane w: Journal of Functional Analysis, Numer 277/10, 2019, Strona(/y) 3491-3512, ISSN 0022-1236
Wydawca: Academic Press
DOI: 10.1016/j.jfa.2019.05.006

Noncommutative solenoids and the Gromov-Hausdorff propinquity

Autorzy: Frédéric Latrémolière, Judith Packer
Opublikowane w: Proceedings of the American Mathematical Society, Numer 145/5, 2017, Strona(/y) 2043-2057, ISSN 0002-9939
Wydawca: American Mathematical Society
DOI: 10.1090/proc/13229

Equivalence of quantum metrics with a common domain

Autorzy: Frédéric Latrémolière
Opublikowane w: Journal of Mathematical Analysis and Applications, Numer 443/2, 2016, Strona(/y) 1179-1195, ISSN 0022-247X
Wydawca: Academic Press
DOI: 10.1016/j.jmaa.2016.05.045

Vector bundles for “Matrix algebras converge to the sphere”

Autorzy: Marc A. Rieffel
Opublikowane w: Journal of Geometry and Physics, Numer 132, 2018, Strona(/y) 181-204, ISSN 0393-0440
Wydawca: Elsevier BV
DOI: 10.1016/j.geomphys.2018.06.003

The Podleś sphere as a spectral metric space

Autorzy: Konrad Aguilar, Jens Kaad
Opublikowane w: Journal of Geometry and Physics, Numer 133, 2018, Strona(/y) 260-278, ISSN 0393-0440
Wydawca: Elsevier BV
DOI: 10.1016/j.geomphys.2018.07.015

Convergence of Cauchy sequences for the covariant Gromov–Hausdorff propinquity

Autorzy: Frédéric Latrémolière
Opublikowane w: Journal of Mathematical Analysis and Applications, Numer 469/1, 2019, Strona(/y) 378-404, ISSN 0022-247X
Wydawca: Academic Press
DOI: 10.1016/j.jmaa.2018.09.018

The Standard Model in noncommutative geometry: fundamental fermions as internal forms

Autorzy: Ludwik Dąbrowski, Francesco D’Andrea, Andrzej Sitarz
Opublikowane w: Letters in Mathematical Physics, Numer 108/5, 2018, Strona(/y) 1323-1340, ISSN 0377-9017
Wydawca: Kluwer Academic Publishers
DOI: 10.1007/s11005-017-1036-x

Gauss-Bonnet for matrix conformally rescaled Dirac

Autorzy: Masoud Khalkhali, Andrzej Sitarz
Opublikowane w: Journal of Mathematical Physics, Numer 59/6, 2018, Strona(/y) 063505, ISSN 0022-2488
Wydawca: American Institute of Physics
DOI: 10.1063/1.4997381

Spectral triples on the Jiang-Su algebra

Autorzy: Jacopo Bassi, Ludwik Dąbrowski
Opublikowane w: Journal of Mathematical Physics, Numer 59/5, 2018, Strona(/y) 053507, ISSN 0022-2488
Wydawca: American Institute of Physics
DOI: 10.1063/1.5026311

Families of spectral triples and foliations of space(time)

Autorzy: Koen van den Dungen
Opublikowane w: Journal of Mathematical Physics, Numer 59/6, 2018, Strona(/y) 063507, ISSN 0022-2488
Wydawca: American Institute of Physics
DOI: 10.1063/1.5021305

K-theory and index pairings for C*-algebras generated by $q$-normal operators

Autorzy: Ismael Cohen, Elmar Wagner
Opublikowane w: Rocky Mountain Journal of Mathematics, Numer 48/5, 2018, Strona(/y) 1485-1510, ISSN 0035-7596
Wydawca: Rocky Mountain Mathematics Consortium
DOI: 10.1216/rmj-2018-48-5-1485

Fermion masses, mass-mixing and the almost commutative geometry of the Standard Model

Autorzy: Ludwik Dąbrowski, Andrzej Sitarz
Opublikowane w: Journal of High Energy Physics, Numer 2019/2, 2019, ISSN 1029-8479
Wydawca: Institute of Physics Publishing
DOI: 10.1007/jhep02(2019)068

Quantum flag manifolds, quantum symmetric spaces and their associated universal K-matrices

Autorzy: K. De Commer, M. Matassa
Opublikowane w: Advances in Mathematics, Numer 366, 2020, Strona(/y) 107029, ISSN 0001-8708
Wydawca: Academic Press
DOI: 10.1016/j.aim.2020.107029

Triviality of equivariant maps in crossed products and matrix algebras

Autorzy: Benjamin W Passer
Opublikowane w: The Quarterly Journal of Mathematics, Numer 70/1, 2018, Strona(/y) 289-303, ISSN 0033-5606
Wydawca: Oxford University Press
DOI: 10.1093/qmath/hay044

Representations of quantum SU(2) operators on a local chart

Autorzy: Elmar Wagner
Opublikowane w: Journal of Physics: Conference Series, Numer 670, 2016, Strona(/y) 012053, ISSN 1742-6588
Wydawca: Institute of Physics
DOI: 10.1088/1742-6596/670/1/012053

Integrable lifts for transitive Lie algebroids

Autorzy: Iakovos Androulidakis, Paolo Antonini
Opublikowane w: International Journal of Mathematics, Numer 29/09, 2018, Strona(/y) 1850062, ISSN 0129-167X
Wydawca: World Scientific Publishing Co
DOI: 10.1142/S0129167X18500623

Noncommutative Borsuk-Ulam-type conjectures

Autorzy: Paul F. Baum, Ludwik Dąbrowski, Piotr M. Hajac
Opublikowane w: Banach Center Publications, Numer 106, 2015, Strona(/y) 9-18, ISSN 0137-6934
Wydawca: Banach Center Publications
DOI: 10.4064/bc106-0-1

Variations of projectivity for C∗-algebras

Autorzy: Don Hadwin, Tatiana Shulman
Opublikowane w: Pacific Journal of Mathematics, Numer 301/2, 2019, Strona(/y) 421-440, ISSN 0030-8730
Wydawca: University of California at Berkeley
DOI: 10.2140/pjm.2019.301.421

The index of generalised Dirac–Schrödinger operators

Autorzy: Koen van den Dungen
Opublikowane w: Journal of Spectral Theory, Numer 9/4, 2019, Strona(/y) 1459-1506, ISSN 1664-039X
Wydawca: European Mathematical Society Publishing House
DOI: 10.4171/JST/283

A Correspondence Between Homogeneous and Galois Coactions of Hopf Algebras

Autorzy: Kenny De Commer, Johan Konings
Opublikowane w: Algebras and Representation Theory, 2020, ISSN 1386-923X
Wydawca: Kluwer Academic Publishers
DOI: 10.1007/s10468-019-09892-6

The modular Gromov–Hausdorff propinquity

Autorzy: Frédéric Latrémolière
Opublikowane w: Dissertationes Mathematicae, Numer 544, 2019, Strona(/y) 1-70, ISSN 0012-3862
Wydawca: Institute of Mathematics, Polish Academy of Sciences
DOI: 10.4064/dm778-5-2019

The covariant Gromov–Hausdorff propinquity

Autorzy: Frédéric Latrémolière
Opublikowane w: Studia Mathematica, Numer 251/2, 2020, Strona(/y) 135-169, ISSN 0039-3223
Wydawca: Polska Akademia Nauk
DOI: 10.4064/sm180610-28-12

Monic representations of finite higher-rank graphs

Autorzy: CARLA FARSI, ELIZABETH GILLASPY, PALLE JORGENSEN, SOORAN KANG, JUDITH PACKER
Opublikowane w: Ergodic Theory and Dynamical Systems, Numer 40/5, 2020, Strona(/y) 1238-1267, ISSN 0143-3857
Wydawca: Cambridge University Press
DOI: 10.1017/etds.2018.79

Actions of categories by Lipschitz morphisms on limits for the Gromov–Hausdorff propinquity

Autorzy: Frédéric Latrémolière
Opublikowane w: Journal of Geometry and Physics, Numer 146, 2019, Strona(/y) 103481, ISSN 0393-0440
Wydawca: Elsevier BV
DOI: 10.1016/j.geomphys.2019.103481

Spin geometry of the rational noncommutative torus

Autorzy: Alessandro Carotenuto, Ludwik Dąbrowski
Opublikowane w: Journal of Geometry and Physics, Numer 144, 2019, Strona(/y) 28-42, ISSN 0393-0440
Wydawca: Elsevier BV
DOI: 10.1016/j.geomphys.2019.05.008

Model theory and Rokhlin dimension for compact quantum group actions

Autorzy: Eusebio Gardella, Mehrdad Kalantar, Martino Lupini
Opublikowane w: Journal of Noncommutative Geometry, Numer 13/2, 2019, Strona(/y) 711-767, ISSN 1661-6952
Wydawca: European Mathematical Society Publishing House
DOI: 10.4171/jncg/337

Compact group actions on topological and noncommutative joins

Autorzy: Alexandru Chirvasitu, Benjamin Passer
Opublikowane w: Proceedings of the American Mathematical Society, Numer 146/8, 2018, Strona(/y) 3217-3232, ISSN 0002-9939
Wydawca: American Mathematical Society
DOI: 10.1090/proc/13941

Dirac operator and its cohomology for the quantum group Uq()

Autorzy: Pavle Pandžić, Petr Somberg
Opublikowane w: Journal of Mathematical Physics, Numer 58/4, 2017, Strona(/y) 041702, ISSN 0022-2488
Wydawca: American Institute of Physics
DOI: 10.1063/1.4979623

Convergence of Quotients of AF Algebras in Quantum Propinquity by Convergence of Ideals

Autorzy: Konrad Aguilar
Opublikowane w: Journal of Operator Theory, 2019, ISSN 0379-4024
Wydawca: Academia Romana
DOI: 10.7900/jot.2018jun13.2222

Cuntz Semigroups of Compact-Type Hopf C*-Algebras

Autorzy: Dan Kučerovský
Opublikowane w: Axioms, Numer 6/4, 2017, Strona(/y) 1, ISSN 2075-1680
Wydawca: MDPI
DOI: 10.3390/axioms6010001

Cotangent bundles for “matrix algebras converge to the sphere”

Autorzy: Marc A. Rieffel
Opublikowane w: Expositiones Mathematicae, 2020, ISSN 0723-0869
Wydawca: Elsevier BV
DOI: 10.1016/j.exmath.2020.01.006

Book chapters (3)

Filtered K-theory for graph algebras

Autorzy: Søren Eilers, Gunnar Restorff, Efren Ruiz, Adam P.W. Sørensen
Opublikowane w: MATRIX Book Series, Numer 1, 2018, Strona(/y) 229–249
Wydawca: Springer

On Noncommutative Geometry of the Standard Model: Fermion Multiplet as Internal Forms

Autorzy: Ludwik Dąbrowski
Opublikowane w: Geometric Methods in Physics XXXVI, 2017
Wydawca: Birkhäuser

Dirac Operator on a Noncommutative Toeplitz Torus

Autorzy: Fredy Díaz García, Elmar Wagner
Opublikowane w: Geometric Methods in Physics XXXVI - Workshop and Summer School, Białowieża, Poland, 2017, 2019, Strona(/y) 103-109, ISBN 978-3-030-01155-0
Wydawca: Springer International Publishing
DOI: 10.1007/978-3-030-01156-7_11

Conference proceedings (13)

Associated noncommutative vector bundles over the Vaksman-Soibelman quantum complex projective spaces

Autorzy: Francesca Arici, Piotr M. Hajac, Mariusz Tobolski
Opublikowane w: Quantum Dynamics, 2020
Wydawca: Banach Center Publications

Standard homogeneous C*-algebras as compact quantum metric spaces

Autorzy: Konrad Aguilar, Tristan Bice
Opublikowane w: Quantum Dynamics, 2020
Wydawca: Banach Center Publications

Some applications of conditional expectations to convergence for the quantum Gromov-Hausdorff propinquity

Autorzy: Konrad Aguilar, Frederic Latremoliere
Opublikowane w: Quantum Dynamics, 2020
Wydawca: Banach Center Publications

Translations in quantum groups

Autorzy: Alexandru Chirvasitu
Opublikowane w: Quantum Dynamics, 2020
Wydawca: Banach Center Publications

From Hopf algebras to topological quantum groups. A short history, various aspects and some problems

Autorzy: Alfons Van Daele
Opublikowane w: Quantum Dynamics, 2020
Wydawca: Banach Center Publications

A spectral triple for noncommutative compact surfaces

Autorzy: Fredy Díaz García, Elmar Wagner
Opublikowane w: Quantum Dynamics, 2020
Wydawca: Banach Center Publications

A note on the injectivity of action by compact quantum groups on a class of C∗-algebras

Autorzy: D Goswami, S Joardar
Opublikowane w: Quantum Dynamics, 2020
Wydawca: Banach Center Publications

A graded pullback structure of Leavitt path algebras of trimmable graphs

Autorzy: Piotr M. Hajac, Atabey Kaygun, Mariusz Tobolski
Opublikowane w: Quantum Dynamics, 2020
Wydawca: Banach Center Publications

Pullbacks of graph C*-algebras from admissible pushouts of graphs

Autorzy: Piotr M. Hajac, Sarah Reznikoff, Mariusz Tobolski
Opublikowane w: Quantum Dynamics, 2020
Wydawca: Banach Center Publications

The asymptotic Connes-Moscovici characteristic map and the index cocycles

Autorzy: Atabey Kaygun, Serkan Sütlü
Opublikowane w: Quantum Dynamics, 2020
Wydawca: Banach Center Publications

K-theory of cluster C*-algebras

Autorzy: Igor Nikolaev
Opublikowane w: Quantum Dynamics, 2020
Wydawca: Banach Center Publications

Epsilon factors as algebraic characters on the smooth dual of GLn

Autorzy: Roger Plymen
Opublikowane w: Quantum Dynamics, 2020
Wydawca: Banach Center Publications

A Note on the Quantum Family of Maps

Autorzy: Albert Jeu-Liang Sheu, Thomas Timmermann
Opublikowane w: Quantum Dynamics, 2020
Wydawca: Banach Center Publications

Non-peer reviewed articles (7)

Equivariant Dimensions of Graph C*-algebras

Autorzy: Alexandru Chirvasitu, Benjamin Passer, Mariusz Tobolski
Opublikowane w: The Journal of Functional Analysis, 2020, ISSN 0022-1236
Wydawca: Academic Press

Invariant quantum measure on q-deformed twisted adjoint orbits

Autorzy: Kenny De Commer
Opublikowane w: Representation Theory, 2020, ISSN 1088-4165
Wydawca: American Mathematical Society

Twisted Dirac operator on quantum SU(2) in disc coordinates

Autorzy: Ulrich Kraehmer, Elmar Wagner
Opublikowane w: Operator Theory: Advances and Applications, 2020, ISSN 2543-0483
Wydawca: Springer Nature

Vector Bundles over Multipullback Quantum Complex Projective Spaces

Autorzy: Albert Jeu-Liang Sheu
Opublikowane w: Journal of Noncommutative Geometry, 2020, ISSN 1661-6952
Wydawca: European Mathematical Society Publishing House

Global symbolic calculus of pseudo-differential operators on homogeneous vector bundles

Autorzy: Mitsuru Wilson
Opublikowane w: SIGMA, 2020, ISSN 1815-0659
Wydawca: Department of Applied Research, Institute of Mathematics of National Academy of Science of Ukraine

The classification of Rokhlin flows on C*-algebras

Autorzy: Gabor Szabo
Opublikowane w: Communications in Mathematical Physics, 2020, ISSN 1432-0916
Wydawca: Springer

Noncommutative Borsuk-Ulam-type conjectures revisited

Autorzy: Ludwik Dąbrowski, Piotr M. Hajac, Sergey Neshveyev
Opublikowane w: JOURNAL OF NONCOMMUTATIVE GEOMETRY, 2020, ISSN 1661-6960
Wydawca: EMS
DOI: 10.4171/jncg/xxx