CORDIS - Forschungsergebnisse der EU
CORDIS

New Geometry of Quantum Dynamics

Leistungen

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).

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.

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.

Veröffentlichungen

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

Autoren: Tatiana Shulman
Veröffentlicht in: Proceedings of the American Mathematical Society, Ausgabe 147/2, 2019, Seite(n) 641-646, ISSN 0002-9939
Herausgeber: American Mathematical Society
DOI: 10.1090/proc/14169

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

Autoren: Kenny De Commer, Paweł Kasprzak, Adam Skalski, Piotr M. Sołtan
Veröffentlicht in: Israel Journal of Mathematics, Ausgabe 226/1, 2018, Seite(n) 475-503, ISSN 0021-2172
Herausgeber: Magnes Press
DOI: 10.1007/s11856-018-1709-x

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

Autoren: Kenny De Commer
Veröffentlicht in: Journal of Functional Analysis, Ausgabe 274/1, 2018, Seite(n) 152-221, ISSN 0022-1236
Herausgeber: Academic Press
DOI: 10.1016/j.jfa.2017.09.005

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

Autoren: Franziska Kraken, Paula Quast, Thomas Timmermann
Veröffentlicht in: Banach Journal of Mathematical Analysis, Ausgabe 12/4, 2018, Seite(n) 843-872, ISSN 1735-8787
Herausgeber: Banach Mathematical Research Group
DOI: 10.1215/17358787-2017-0056

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

Autoren: Kenny De Commer, Sergey Neshveyev, Lars Tuset, Makoto Yamashita
Veröffentlicht in: Communications in Mathematical Physics, Ausgabe 367/3, 2019, Seite(n) 717-769, ISSN 0010-3616
Herausgeber: Springer Verlag
DOI: 10.1007/s00220-019-03317-7

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

Autoren: Kristin Courtney, Tatiana Shulman
Veröffentlicht in: Proceedings of the American Mathematical Society, Ausgabe 148/2, 2020, Seite(n) 765-776, ISSN 0002-9939
Herausgeber: American Mathematical Society
DOI: 10.1090/proc/14746

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

Autoren: Kenny De Commer, Matthias Floré
Veröffentlicht in: Selecta Mathematica, Ausgabe 25/1, 2019, ISSN 1022-1824
Herausgeber: Birkhauser Verlag
DOI: 10.1007/s00029-019-0456-0

Geometric Classification of Graph C*-algebras over Finite Graphs

Autoren: Søren Eilers, Gunnar Restorff, Efren Ruiz, Adam P.W. Sørensen
Veröffentlicht in: Canadian Journal of Mathematics, Ausgabe 70/2, 2018, Seite(n) 294-353, ISSN 0008-414X
Herausgeber: Canadian Mathematical Society
DOI: 10.4153/cjm-2017-016-7

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

Autoren: SARA E. ARKLINT, SØREN EILERS, EFREN RUIZ
Veröffentlicht in: Ergodic Theory and Dynamical Systems, Ausgabe 38/7, 2018, Seite(n) 2401-2421, ISSN 0143-3857
Herausgeber: Cambridge University Press
DOI: 10.1017/etds.2016.141

Projective Modules Over Quantum Projective Line

Autoren: Albert Jeu-Liang Sheu
Veröffentlicht in: International Journal of Mathematics, Ausgabe 28/03, 2017, Seite(n) 1750022, ISSN 0129-167X
Herausgeber: World Scientific Publishing Co
DOI: 10.1142/s0129167x17500227

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

Autoren: Carla Farsi, Elizabeth Gillaspy, Palle Jorgensen, Sooran Kang, Judith Packer
Veröffentlicht in: Journal of Mathematical Analysis and Applications, Ausgabe 468/2, 2018, Seite(n) 766-798, ISSN 0022-247X
Herausgeber: Academic Press
DOI: 10.1016/j.jmaa.2018.08.051

Projections over quantum homogeneous odd-dimensional spheres

Autoren: Albert Jeu-Liang Sheu
Veröffentlicht in: Journal of Functional Analysis, Ausgabe 277/10, 2019, Seite(n) 3491-3512, ISSN 0022-1236
Herausgeber: Academic Press
DOI: 10.1016/j.jfa.2019.05.006

Noncommutative solenoids and the Gromov-Hausdorff propinquity

Autoren: Frédéric Latrémolière, Judith Packer
Veröffentlicht in: Proceedings of the American Mathematical Society, Ausgabe 145/5, 2017, Seite(n) 2043-2057, ISSN 0002-9939
Herausgeber: American Mathematical Society
DOI: 10.1090/proc/13229

Equivalence of quantum metrics with a common domain

Autoren: Frédéric Latrémolière
Veröffentlicht in: Journal of Mathematical Analysis and Applications, Ausgabe 443/2, 2016, Seite(n) 1179-1195, ISSN 0022-247X
Herausgeber: Academic Press
DOI: 10.1016/j.jmaa.2016.05.045

Vector bundles for “Matrix algebras converge to the sphere”

Autoren: Marc A. Rieffel
Veröffentlicht in: Journal of Geometry and Physics, Ausgabe 132, 2018, Seite(n) 181-204, ISSN 0393-0440
Herausgeber: Elsevier BV
DOI: 10.1016/j.geomphys.2018.06.003

The Podleś sphere as a spectral metric space

Autoren: Konrad Aguilar, Jens Kaad
Veröffentlicht in: Journal of Geometry and Physics, Ausgabe 133, 2018, Seite(n) 260-278, ISSN 0393-0440
Herausgeber: Elsevier BV
DOI: 10.1016/j.geomphys.2018.07.015

Convergence of Cauchy sequences for the covariant Gromov–Hausdorff propinquity

Autoren: Frédéric Latrémolière
Veröffentlicht in: Journal of Mathematical Analysis and Applications, Ausgabe 469/1, 2019, Seite(n) 378-404, ISSN 0022-247X
Herausgeber: Academic Press
DOI: 10.1016/j.jmaa.2018.09.018

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

Autoren: Ludwik Dąbrowski, Francesco D’Andrea, Andrzej Sitarz
Veröffentlicht in: Letters in Mathematical Physics, Ausgabe 108/5, 2018, Seite(n) 1323-1340, ISSN 0377-9017
Herausgeber: Kluwer Academic Publishers
DOI: 10.1007/s11005-017-1036-x

Gauss-Bonnet for matrix conformally rescaled Dirac

Autoren: Masoud Khalkhali, Andrzej Sitarz
Veröffentlicht in: Journal of Mathematical Physics, Ausgabe 59/6, 2018, Seite(n) 063505, ISSN 0022-2488
Herausgeber: American Institute of Physics
DOI: 10.1063/1.4997381

Spectral triples on the Jiang-Su algebra

Autoren: Jacopo Bassi, Ludwik Dąbrowski
Veröffentlicht in: Journal of Mathematical Physics, Ausgabe 59/5, 2018, Seite(n) 053507, ISSN 0022-2488
Herausgeber: American Institute of Physics
DOI: 10.1063/1.5026311

Families of spectral triples and foliations of space(time)

Autoren: Koen van den Dungen
Veröffentlicht in: Journal of Mathematical Physics, Ausgabe 59/6, 2018, Seite(n) 063507, ISSN 0022-2488
Herausgeber: American Institute of Physics
DOI: 10.1063/1.5021305

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

Autoren: Ismael Cohen, Elmar Wagner
Veröffentlicht in: Rocky Mountain Journal of Mathematics, Ausgabe 48/5, 2018, Seite(n) 1485-1510, ISSN 0035-7596
Herausgeber: 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

Autoren: Ludwik Dąbrowski, Andrzej Sitarz
Veröffentlicht in: Journal of High Energy Physics, Ausgabe 2019/2, 2019, ISSN 1029-8479
Herausgeber: Institute of Physics Publishing
DOI: 10.1007/jhep02(2019)068

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

Autoren: K. De Commer, M. Matassa
Veröffentlicht in: Advances in Mathematics, Ausgabe 366, 2020, Seite(n) 107029, ISSN 0001-8708
Herausgeber: Academic Press
DOI: 10.1016/j.aim.2020.107029

Triviality of equivariant maps in crossed products and matrix algebras

Autoren: Benjamin W Passer
Veröffentlicht in: The Quarterly Journal of Mathematics, Ausgabe 70/1, 2018, Seite(n) 289-303, ISSN 0033-5606
Herausgeber: Oxford University Press
DOI: 10.1093/qmath/hay044

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

Autoren: Elmar Wagner
Veröffentlicht in: Journal of Physics: Conference Series, Ausgabe 670, 2016, Seite(n) 012053, ISSN 1742-6588
Herausgeber: Institute of Physics
DOI: 10.1088/1742-6596/670/1/012053

Integrable lifts for transitive Lie algebroids

Autoren: Iakovos Androulidakis, Paolo Antonini
Veröffentlicht in: International Journal of Mathematics, Ausgabe 29/09, 2018, Seite(n) 1850062, ISSN 0129-167X
Herausgeber: World Scientific Publishing Co
DOI: 10.1142/S0129167X18500623

Noncommutative Borsuk-Ulam-type conjectures

Autoren: Paul F. Baum, Ludwik Dąbrowski, Piotr M. Hajac
Veröffentlicht in: Banach Center Publications, Ausgabe 106, 2015, Seite(n) 9-18, ISSN 0137-6934
Herausgeber: Banach Center Publications
DOI: 10.4064/bc106-0-1

Variations of projectivity for C∗-algebras

Autoren: Don Hadwin, Tatiana Shulman
Veröffentlicht in: Pacific Journal of Mathematics, Ausgabe 301/2, 2019, Seite(n) 421-440, ISSN 0030-8730
Herausgeber: University of California at Berkeley
DOI: 10.2140/pjm.2019.301.421

The index of generalised Dirac–Schrödinger operators

Autoren: Koen van den Dungen
Veröffentlicht in: Journal of Spectral Theory, Ausgabe 9/4, 2019, Seite(n) 1459-1506, ISSN 1664-039X
Herausgeber: European Mathematical Society Publishing House
DOI: 10.4171/JST/283

A Correspondence Between Homogeneous and Galois Coactions of Hopf Algebras

Autoren: Kenny De Commer, Johan Konings
Veröffentlicht in: Algebras and Representation Theory, 2020, ISSN 1386-923X
Herausgeber: Kluwer Academic Publishers
DOI: 10.1007/s10468-019-09892-6

The modular Gromov–Hausdorff propinquity

Autoren: Frédéric Latrémolière
Veröffentlicht in: Dissertationes Mathematicae, Ausgabe 544, 2019, Seite(n) 1-70, ISSN 0012-3862
Herausgeber: Institute of Mathematics, Polish Academy of Sciences
DOI: 10.4064/dm778-5-2019

The covariant Gromov–Hausdorff propinquity

Autoren: Frédéric Latrémolière
Veröffentlicht in: Studia Mathematica, Ausgabe 251/2, 2020, Seite(n) 135-169, ISSN 0039-3223
Herausgeber: Polska Akademia Nauk
DOI: 10.4064/sm180610-28-12

Monic representations of finite higher-rank graphs

Autoren: CARLA FARSI, ELIZABETH GILLASPY, PALLE JORGENSEN, SOORAN KANG, JUDITH PACKER
Veröffentlicht in: Ergodic Theory and Dynamical Systems, Ausgabe 40/5, 2020, Seite(n) 1238-1267, ISSN 0143-3857
Herausgeber: Cambridge University Press
DOI: 10.1017/etds.2018.79

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

Autoren: Frédéric Latrémolière
Veröffentlicht in: Journal of Geometry and Physics, Ausgabe 146, 2019, Seite(n) 103481, ISSN 0393-0440
Herausgeber: Elsevier BV
DOI: 10.1016/j.geomphys.2019.103481

Spin geometry of the rational noncommutative torus

Autoren: Alessandro Carotenuto, Ludwik Dąbrowski
Veröffentlicht in: Journal of Geometry and Physics, Ausgabe 144, 2019, Seite(n) 28-42, ISSN 0393-0440
Herausgeber: Elsevier BV
DOI: 10.1016/j.geomphys.2019.05.008

Model theory and Rokhlin dimension for compact quantum group actions

Autoren: Eusebio Gardella, Mehrdad Kalantar, Martino Lupini
Veröffentlicht in: Journal of Noncommutative Geometry, Ausgabe 13/2, 2019, Seite(n) 711-767, ISSN 1661-6952
Herausgeber: European Mathematical Society Publishing House
DOI: 10.4171/jncg/337

Compact group actions on topological and noncommutative joins

Autoren: Alexandru Chirvasitu, Benjamin Passer
Veröffentlicht in: Proceedings of the American Mathematical Society, Ausgabe 146/8, 2018, Seite(n) 3217-3232, ISSN 0002-9939
Herausgeber: American Mathematical Society
DOI: 10.1090/proc/13941

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

Autoren: Pavle Pandžić, Petr Somberg
Veröffentlicht in: Journal of Mathematical Physics, Ausgabe 58/4, 2017, Seite(n) 041702, ISSN 0022-2488
Herausgeber: American Institute of Physics
DOI: 10.1063/1.4979623

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

Autoren: Konrad Aguilar
Veröffentlicht in: Journal of Operator Theory, 2019, ISSN 0379-4024
Herausgeber: Academia Romana
DOI: 10.7900/jot.2018jun13.2222

Cuntz Semigroups of Compact-Type Hopf C*-Algebras

Autoren: Dan Kučerovský
Veröffentlicht in: Axioms, Ausgabe 6/4, 2017, Seite(n) 1, ISSN 2075-1680
Herausgeber: MDPI
DOI: 10.3390/axioms6010001

Cotangent bundles for “matrix algebras converge to the sphere”

Autoren: Marc A. Rieffel
Veröffentlicht in: Expositiones Mathematicae, 2020, ISSN 0723-0869
Herausgeber: Elsevier BV
DOI: 10.1016/j.exmath.2020.01.006

Filtered K-theory for graph algebras

Autoren: Søren Eilers, Gunnar Restorff, Efren Ruiz, Adam P.W. Sørensen
Veröffentlicht in: MATRIX Book Series, Ausgabe 1, 2018, Seite(n) 229–249
Herausgeber: Springer

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

Autoren: Ludwik Dąbrowski
Veröffentlicht in: Geometric Methods in Physics XXXVI, 2017
Herausgeber: Birkhäuser

Dirac Operator on a Noncommutative Toeplitz Torus

Autoren: Fredy Díaz García, Elmar Wagner
Veröffentlicht in: Geometric Methods in Physics XXXVI - Workshop and Summer School, Białowieża, Poland, 2017, 2019, Seite(n) 103-109, ISBN 978-3-030-01155-0
Herausgeber: Springer International Publishing
DOI: 10.1007/978-3-030-01156-7_11

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

Autoren: Francesca Arici, Piotr M. Hajac, Mariusz Tobolski
Veröffentlicht in: Quantum Dynamics, 2020
Herausgeber: Banach Center Publications

Standard homogeneous C*-algebras as compact quantum metric spaces

Autoren: Konrad Aguilar, Tristan Bice
Veröffentlicht in: Quantum Dynamics, 2020
Herausgeber: Banach Center Publications

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

Autoren: Konrad Aguilar, Frederic Latremoliere
Veröffentlicht in: Quantum Dynamics, 2020
Herausgeber: Banach Center Publications

Translations in quantum groups

Autoren: Alexandru Chirvasitu
Veröffentlicht in: Quantum Dynamics, 2020
Herausgeber: Banach Center Publications

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

Autoren: Alfons Van Daele
Veröffentlicht in: Quantum Dynamics, 2020
Herausgeber: Banach Center Publications

A spectral triple for noncommutative compact surfaces

Autoren: Fredy Díaz García, Elmar Wagner
Veröffentlicht in: Quantum Dynamics, 2020
Herausgeber: Banach Center Publications

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

Autoren: D Goswami, S Joardar
Veröffentlicht in: Quantum Dynamics, 2020
Herausgeber: Banach Center Publications

A graded pullback structure of Leavitt path algebras of trimmable graphs

Autoren: Piotr M. Hajac, Atabey Kaygun, Mariusz Tobolski
Veröffentlicht in: Quantum Dynamics, 2020
Herausgeber: Banach Center Publications

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

Autoren: Piotr M. Hajac, Sarah Reznikoff, Mariusz Tobolski
Veröffentlicht in: Quantum Dynamics, 2020
Herausgeber: Banach Center Publications

The asymptotic Connes-Moscovici characteristic map and the index cocycles

Autoren: Atabey Kaygun, Serkan Sütlü
Veröffentlicht in: Quantum Dynamics, 2020
Herausgeber: Banach Center Publications

K-theory of cluster C*-algebras

Autoren: Igor Nikolaev
Veröffentlicht in: Quantum Dynamics, 2020
Herausgeber: Banach Center Publications

Epsilon factors as algebraic characters on the smooth dual of GLn

Autoren: Roger Plymen
Veröffentlicht in: Quantum Dynamics, 2020
Herausgeber: Banach Center Publications

A Note on the Quantum Family of Maps

Autoren: Albert Jeu-Liang Sheu, Thomas Timmermann
Veröffentlicht in: Quantum Dynamics, 2020
Herausgeber: Banach Center Publications

Equivariant Dimensions of Graph C*-algebras

Autoren: Alexandru Chirvasitu, Benjamin Passer, Mariusz Tobolski
Veröffentlicht in: The Journal of Functional Analysis, 2020, ISSN 0022-1236
Herausgeber: Academic Press

Invariant quantum measure on q-deformed twisted adjoint orbits

Autoren: Kenny De Commer
Veröffentlicht in: Representation Theory, 2020, ISSN 1088-4165
Herausgeber: American Mathematical Society

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

Autoren: Ulrich Kraehmer, Elmar Wagner
Veröffentlicht in: Operator Theory: Advances and Applications, 2020, ISSN 2543-0483
Herausgeber: Springer Nature

Vector Bundles over Multipullback Quantum Complex Projective Spaces

Autoren: Albert Jeu-Liang Sheu
Veröffentlicht in: Journal of Noncommutative Geometry, 2020, ISSN 1661-6952
Herausgeber: European Mathematical Society Publishing House

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

Autoren: Mitsuru Wilson
Veröffentlicht in: SIGMA, 2020, ISSN 1815-0659
Herausgeber: Department of Applied Research, Institute of Mathematics of National Academy of Science of Ukraine

The classification of Rokhlin flows on C*-algebras

Autoren: Gabor Szabo
Veröffentlicht in: Communications in Mathematical Physics, 2020, ISSN 1432-0916
Herausgeber: Springer

Noncommutative Borsuk-Ulam-type conjectures revisited

Autoren: Ludwik Dąbrowski, Piotr M. Hajac, Sergey Neshveyev
Veröffentlicht in: JOURNAL OF NONCOMMUTATIVE GEOMETRY, 2020, ISSN 1661-6960
Herausgeber: EMS
DOI: 10.4171/jncg/xxx

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