New Geometry of Quantum Dynamics

Información del proyecto

QUANTUM DYNAMICS

Identificador del acuerdo de subvención: 691246

DOI 10.3030/691246

Proyecto cerrado

Fecha de la firma de la CE 7 Diciembre 2015

Fecha de inicio 1 Enero 2016

Fecha de finalización 31 Diciembre 2019

Financiado con arreglo a

• EXCELLENT SCIENCE - Marie Skłodowska-Curie Actions

Coste total € 589 500,00

Aportación de la UE € 288 000,00

Coordinado por

INSTYTUT MATEMATYCZNY POLSKIEJ AKADEMII NAUK
Poland

Resultado final

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.

Publicaciones

Peer reviewed articles (42)

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

Autores: Tatiana Shulman
Publicado en: Proceedings of the American Mathematical Society, Edición 147/2, 2019, Página(s) 641-646, ISSN 0002-9939
Editor: American Mathematical Society
DOI: 10.1090/proc/14169

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

Autores: Kenny De Commer, Paweł Kasprzak, Adam Skalski, Piotr M. Sołtan
Publicado en: Israel Journal of Mathematics, Edición 226/1, 2018, Página(s) 475-503, ISSN 0021-2172
Editor: Magnes Press
DOI: 10.1007/s11856-018-1709-x

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

Autores: Kenny De Commer
Publicado en: Journal of Functional Analysis, Edición 274/1, 2018, Página(s) 152-221, ISSN 0022-1236
Editor: Academic Press
DOI: 10.1016/j.jfa.2017.09.005

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

Autores: Franziska Kraken, Paula Quast, Thomas Timmermann
Publicado en: Banach Journal of Mathematical Analysis, Edición 12/4, 2018, Página(s) 843-872, ISSN 1735-8787
Editor: Banach Mathematical Research Group
DOI: 10.1215/17358787-2017-0056

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

Autores: Kenny De Commer, Sergey Neshveyev, Lars Tuset, Makoto Yamashita
Publicado en: Communications in Mathematical Physics, Edición 367/3, 2019, Página(s) 717-769, ISSN 0010-3616
Editor: Springer Verlag
DOI: 10.1007/s00220-019-03317-7

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

Autores: Kristin Courtney, Tatiana Shulman
Publicado en: Proceedings of the American Mathematical Society, Edición 148/2, 2020, Página(s) 765-776, ISSN 0002-9939
Editor: American Mathematical Society
DOI: 10.1090/proc/14746

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

Autores: Kenny De Commer, Matthias Floré
Publicado en: Selecta Mathematica, Edición 25/1, 2019, ISSN 1022-1824
Editor: Birkhauser Verlag
DOI: 10.1007/s00029-019-0456-0

Geometric Classification of Graph C*-algebras over Finite Graphs

Autores: Søren Eilers, Gunnar Restorff, Efren Ruiz, Adam P.W. Sørensen
Publicado en: Canadian Journal of Mathematics, Edición 70/2, 2018, Página(s) 294-353, ISSN 0008-414X
Editor: Canadian Mathematical Society
DOI: 10.4153/cjm-2017-016-7

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

Autores: SARA E. ARKLINT, SØREN EILERS, EFREN RUIZ
Publicado en: Ergodic Theory and Dynamical Systems, Edición 38/7, 2018, Página(s) 2401-2421, ISSN 0143-3857
Editor: Cambridge University Press
DOI: 10.1017/etds.2016.141

Projective Modules Over Quantum Projective Line

Autores: Albert Jeu-Liang Sheu
Publicado en: International Journal of Mathematics, Edición 28/03, 2017, Página(s) 1750022, ISSN 0129-167X
Editor: World Scientific Publishing Co
DOI: 10.1142/s0129167x17500227

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

Autores: Carla Farsi, Elizabeth Gillaspy, Palle Jorgensen, Sooran Kang, Judith Packer
Publicado en: Journal of Mathematical Analysis and Applications, Edición 468/2, 2018, Página(s) 766-798, ISSN 0022-247X
Editor: Academic Press
DOI: 10.1016/j.jmaa.2018.08.051

Projections over quantum homogeneous odd-dimensional spheres

Autores: Albert Jeu-Liang Sheu
Publicado en: Journal of Functional Analysis, Edición 277/10, 2019, Página(s) 3491-3512, ISSN 0022-1236
Editor: Academic Press
DOI: 10.1016/j.jfa.2019.05.006

Noncommutative solenoids and the Gromov-Hausdorff propinquity

Autores: Frédéric Latrémolière, Judith Packer
Publicado en: Proceedings of the American Mathematical Society, Edición 145/5, 2017, Página(s) 2043-2057, ISSN 0002-9939
Editor: American Mathematical Society
DOI: 10.1090/proc/13229

Equivalence of quantum metrics with a common domain

Autores: Frédéric Latrémolière
Publicado en: Journal of Mathematical Analysis and Applications, Edición 443/2, 2016, Página(s) 1179-1195, ISSN 0022-247X
Editor: Academic Press
DOI: 10.1016/j.jmaa.2016.05.045

Vector bundles for “Matrix algebras converge to the sphere”

Autores: Marc A. Rieffel
Publicado en: Journal of Geometry and Physics, Edición 132, 2018, Página(s) 181-204, ISSN 0393-0440
Editor: Elsevier BV
DOI: 10.1016/j.geomphys.2018.06.003

The Podleś sphere as a spectral metric space

Autores: Konrad Aguilar, Jens Kaad
Publicado en: Journal of Geometry and Physics, Edición 133, 2018, Página(s) 260-278, ISSN 0393-0440
Editor: Elsevier BV
DOI: 10.1016/j.geomphys.2018.07.015

Convergence of Cauchy sequences for the covariant Gromov–Hausdorff propinquity

Autores: Frédéric Latrémolière
Publicado en: Journal of Mathematical Analysis and Applications, Edición 469/1, 2019, Página(s) 378-404, ISSN 0022-247X
Editor: Academic Press
DOI: 10.1016/j.jmaa.2018.09.018

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

Autores: Ludwik Dąbrowski, Francesco D’Andrea, Andrzej Sitarz
Publicado en: Letters in Mathematical Physics, Edición 108/5, 2018, Página(s) 1323-1340, ISSN 0377-9017
Editor: Kluwer Academic Publishers
DOI: 10.1007/s11005-017-1036-x

Gauss-Bonnet for matrix conformally rescaled Dirac

Autores: Masoud Khalkhali, Andrzej Sitarz
Publicado en: Journal of Mathematical Physics, Edición 59/6, 2018, Página(s) 063505, ISSN 0022-2488
Editor: American Institute of Physics
DOI: 10.1063/1.4997381

Spectral triples on the Jiang-Su algebra

Autores: Jacopo Bassi, Ludwik Dąbrowski
Publicado en: Journal of Mathematical Physics, Edición 59/5, 2018, Página(s) 053507, ISSN 0022-2488
Editor: American Institute of Physics
DOI: 10.1063/1.5026311

Families of spectral triples and foliations of space(time)

Autores: Koen van den Dungen
Publicado en: Journal of Mathematical Physics, Edición 59/6, 2018, Página(s) 063507, ISSN 0022-2488
Editor: American Institute of Physics
DOI: 10.1063/1.5021305

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

Autores: Ismael Cohen, Elmar Wagner
Publicado en: Rocky Mountain Journal of Mathematics, Edición 48/5, 2018, Página(s) 1485-1510, ISSN 0035-7596
Editor: 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

Autores: Ludwik Dąbrowski, Andrzej Sitarz
Publicado en: Journal of High Energy Physics, Edición 2019/2, 2019, ISSN 1029-8479
Editor: Institute of Physics Publishing
DOI: 10.1007/jhep02(2019)068

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

Autores: K. De Commer, M. Matassa
Publicado en: Advances in Mathematics, Edición 366, 2020, Página(s) 107029, ISSN 0001-8708
Editor: Academic Press
DOI: 10.1016/j.aim.2020.107029

Triviality of equivariant maps in crossed products and matrix algebras

Autores: Benjamin W Passer
Publicado en: The Quarterly Journal of Mathematics, Edición 70/1, 2018, Página(s) 289-303, ISSN 0033-5606
Editor: Oxford University Press
DOI: 10.1093/qmath/hay044

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

Autores: Elmar Wagner
Publicado en: Journal of Physics: Conference Series, Edición 670, 2016, Página(s) 012053, ISSN 1742-6588
Editor: Institute of Physics
DOI: 10.1088/1742-6596/670/1/012053

Integrable lifts for transitive Lie algebroids

Autores: Iakovos Androulidakis, Paolo Antonini
Publicado en: International Journal of Mathematics, Edición 29/09, 2018, Página(s) 1850062, ISSN 0129-167X
Editor: World Scientific Publishing Co
DOI: 10.1142/S0129167X18500623

Noncommutative Borsuk-Ulam-type conjectures

Autores: Paul F. Baum, Ludwik Dąbrowski, Piotr M. Hajac
Publicado en: Banach Center Publications, Edición 106, 2015, Página(s) 9-18, ISSN 0137-6934
Editor: Banach Center Publications
DOI: 10.4064/bc106-0-1

Variations of projectivity for C∗-algebras

Autores: Don Hadwin, Tatiana Shulman
Publicado en: Pacific Journal of Mathematics, Edición 301/2, 2019, Página(s) 421-440, ISSN 0030-8730
Editor: University of California at Berkeley
DOI: 10.2140/pjm.2019.301.421

The index of generalised Dirac–Schrödinger operators

Autores: Koen van den Dungen
Publicado en: Journal of Spectral Theory, Edición 9/4, 2019, Página(s) 1459-1506, ISSN 1664-039X
Editor: European Mathematical Society Publishing House
DOI: 10.4171/JST/283

A Correspondence Between Homogeneous and Galois Coactions of Hopf Algebras

Autores: Kenny De Commer, Johan Konings
Publicado en: Algebras and Representation Theory, 2020, ISSN 1386-923X
Editor: Kluwer Academic Publishers
DOI: 10.1007/s10468-019-09892-6

The modular Gromov–Hausdorff propinquity

Autores: Frédéric Latrémolière
Publicado en: Dissertationes Mathematicae, Edición 544, 2019, Página(s) 1-70, ISSN 0012-3862
Editor: Institute of Mathematics, Polish Academy of Sciences
DOI: 10.4064/dm778-5-2019

The covariant Gromov–Hausdorff propinquity

Autores: Frédéric Latrémolière
Publicado en: Studia Mathematica, Edición 251/2, 2020, Página(s) 135-169, ISSN 0039-3223
Editor: Polska Akademia Nauk
DOI: 10.4064/sm180610-28-12

Monic representations of finite higher-rank graphs

Autores: CARLA FARSI, ELIZABETH GILLASPY, PALLE JORGENSEN, SOORAN KANG, JUDITH PACKER
Publicado en: Ergodic Theory and Dynamical Systems, Edición 40/5, 2020, Página(s) 1238-1267, ISSN 0143-3857
Editor: Cambridge University Press
DOI: 10.1017/etds.2018.79

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

Autores: Frédéric Latrémolière
Publicado en: Journal of Geometry and Physics, Edición 146, 2019, Página(s) 103481, ISSN 0393-0440
Editor: Elsevier BV
DOI: 10.1016/j.geomphys.2019.103481

Spin geometry of the rational noncommutative torus

Autores: Alessandro Carotenuto, Ludwik Dąbrowski
Publicado en: Journal of Geometry and Physics, Edición 144, 2019, Página(s) 28-42, ISSN 0393-0440
Editor: Elsevier BV
DOI: 10.1016/j.geomphys.2019.05.008

Model theory and Rokhlin dimension for compact quantum group actions

Autores: Eusebio Gardella, Mehrdad Kalantar, Martino Lupini
Publicado en: Journal of Noncommutative Geometry, Edición 13/2, 2019, Página(s) 711-767, ISSN 1661-6952
Editor: European Mathematical Society Publishing House
DOI: 10.4171/jncg/337

Compact group actions on topological and noncommutative joins

Autores: Alexandru Chirvasitu, Benjamin Passer
Publicado en: Proceedings of the American Mathematical Society, Edición 146/8, 2018, Página(s) 3217-3232, ISSN 0002-9939
Editor: American Mathematical Society
DOI: 10.1090/proc/13941

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

Autores: Pavle Pandžić, Petr Somberg
Publicado en: Journal of Mathematical Physics, Edición 58/4, 2017, Página(s) 041702, ISSN 0022-2488
Editor: American Institute of Physics
DOI: 10.1063/1.4979623

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

Autores: Konrad Aguilar
Publicado en: Journal of Operator Theory, 2019, ISSN 0379-4024
Editor: Academia Romana
DOI: 10.7900/jot.2018jun13.2222

Cuntz Semigroups of Compact-Type Hopf C*-Algebras

Autores: Dan Kučerovský
Publicado en: Axioms, Edición 6/4, 2017, Página(s) 1, ISSN 2075-1680
Editor: MDPI
DOI: 10.3390/axioms6010001

Cotangent bundles for “matrix algebras converge to the sphere”

Autores: Marc A. Rieffel
Publicado en: Expositiones Mathematicae, 2020, ISSN 0723-0869
Editor: Elsevier BV
DOI: 10.1016/j.exmath.2020.01.006

Book chapters (3)

Filtered K-theory for graph algebras

Autores: Søren Eilers, Gunnar Restorff, Efren Ruiz, Adam P.W. Sørensen
Publicado en: MATRIX Book Series, Edición 1, 2018, Página(s) 229–249
Editor: Springer

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

Autores: Ludwik Dąbrowski
Publicado en: Geometric Methods in Physics XXXVI, 2017
Editor: Birkhäuser

Dirac Operator on a Noncommutative Toeplitz Torus

Autores: Fredy Díaz García, Elmar Wagner
Publicado en: Geometric Methods in Physics XXXVI - Workshop and Summer School, Białowieża, Poland, 2017, 2019, Página(s) 103-109, ISBN 978-3-030-01155-0
Editor: 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

Autores: Francesca Arici, Piotr M. Hajac, Mariusz Tobolski
Publicado en: Quantum Dynamics, 2020
Editor: Banach Center Publications

Standard homogeneous C*-algebras as compact quantum metric spaces

Autores: Konrad Aguilar, Tristan Bice
Publicado en: Quantum Dynamics, 2020
Editor: Banach Center Publications

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

Autores: Konrad Aguilar, Frederic Latremoliere
Publicado en: Quantum Dynamics, 2020
Editor: Banach Center Publications

Translations in quantum groups

Autores: Alexandru Chirvasitu
Publicado en: Quantum Dynamics, 2020
Editor: Banach Center Publications

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

Autores: Alfons Van Daele
Publicado en: Quantum Dynamics, 2020
Editor: Banach Center Publications

A spectral triple for noncommutative compact surfaces

Autores: Fredy Díaz García, Elmar Wagner
Publicado en: Quantum Dynamics, 2020
Editor: Banach Center Publications

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

Autores: D Goswami, S Joardar
Publicado en: Quantum Dynamics, 2020
Editor: Banach Center Publications

A graded pullback structure of Leavitt path algebras of trimmable graphs

Autores: Piotr M. Hajac, Atabey Kaygun, Mariusz Tobolski
Publicado en: Quantum Dynamics, 2020
Editor: Banach Center Publications

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

Autores: Piotr M. Hajac, Sarah Reznikoff, Mariusz Tobolski
Publicado en: Quantum Dynamics, 2020
Editor: Banach Center Publications

The asymptotic Connes-Moscovici characteristic map and the index cocycles

Autores: Atabey Kaygun, Serkan Sütlü
Publicado en: Quantum Dynamics, 2020
Editor: Banach Center Publications

K-theory of cluster C*-algebras

Autores: Igor Nikolaev
Publicado en: Quantum Dynamics, 2020
Editor: Banach Center Publications

Epsilon factors as algebraic characters on the smooth dual of GLn

Autores: Roger Plymen
Publicado en: Quantum Dynamics, 2020
Editor: Banach Center Publications

A Note on the Quantum Family of Maps

Autores: Albert Jeu-Liang Sheu, Thomas Timmermann
Publicado en: Quantum Dynamics, 2020
Editor: Banach Center Publications

Non-peer reviewed articles (7)

Equivariant Dimensions of Graph C*-algebras

Autores: Alexandru Chirvasitu, Benjamin Passer, Mariusz Tobolski
Publicado en: The Journal of Functional Analysis, 2020, ISSN 0022-1236
Editor: Academic Press

Invariant quantum measure on q-deformed twisted adjoint orbits

Autores: Kenny De Commer
Publicado en: Representation Theory, 2020, ISSN 1088-4165
Editor: American Mathematical Society

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

Autores: Ulrich Kraehmer, Elmar Wagner
Publicado en: Operator Theory: Advances and Applications, 2020, ISSN 2543-0483
Editor: Springer Nature

Vector Bundles over Multipullback Quantum Complex Projective Spaces

Autores: Albert Jeu-Liang Sheu
Publicado en: Journal of Noncommutative Geometry, 2020, ISSN 1661-6952
Editor: European Mathematical Society Publishing House

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

Autores: Mitsuru Wilson
Publicado en: SIGMA, 2020, ISSN 1815-0659
Editor: Department of Applied Research, Institute of Mathematics of National Academy of Science of Ukraine

The classification of Rokhlin flows on C*-algebras

Autores: Gabor Szabo
Publicado en: Communications in Mathematical Physics, 2020, ISSN 1432-0916
Editor: Springer

Noncommutative Borsuk-Ulam-type conjectures revisited

Autores: Ludwik Dąbrowski, Piotr M. Hajac, Sergey Neshveyev
Publicado en: JOURNAL OF NONCOMMUTATIVE GEOMETRY, 2020, ISSN 1661-6960
Editor: EMS
DOI: 10.4171/jncg/xxx