New Geometry of Quantum Dynamics

Informations projet

QUANTUM DYNAMICS

N° de convention de subvention: 691246

DOI 10.3030/691246

Projet clôturé

Date de signature de la CE 7 Decembre 2015

Date de début 1 Janvier 2016

Date de fin 31 Decembre 2019

Financé au titre de

• EXCELLENT SCIENCE - Marie Skłodowska-Curie Actions

Coût total € 589 500,00

Contribution de l’UE € 288 000,00

Coordonné par

INSTYTUT MATEMATYCZNY POLSKIEJ AKADEMII NAUK
Poland

Livrables

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.

Publications

Peer reviewed articles (42)

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

Auteurs: Tatiana Shulman
Publié dans: Proceedings of the American Mathematical Society, Numéro 147/2, 2019, Page(s) 641-646, ISSN 0002-9939
Éditeur: American Mathematical Society
DOI: 10.1090/proc/14169

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

Auteurs: Kenny De Commer, Paweł Kasprzak, Adam Skalski, Piotr M. Sołtan
Publié dans: Israel Journal of Mathematics, Numéro 226/1, 2018, Page(s) 475-503, ISSN 0021-2172
Éditeur: Magnes Press
DOI: 10.1007/s11856-018-1709-x

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

Auteurs: Kenny De Commer
Publié dans: Journal of Functional Analysis, Numéro 274/1, 2018, Page(s) 152-221, ISSN 0022-1236
Éditeur: Academic Press
DOI: 10.1016/j.jfa.2017.09.005

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

Auteurs: Franziska Kraken, Paula Quast, Thomas Timmermann
Publié dans: Banach Journal of Mathematical Analysis, Numéro 12/4, 2018, Page(s) 843-872, ISSN 1735-8787
Éditeur: Banach Mathematical Research Group
DOI: 10.1215/17358787-2017-0056

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

Auteurs: Kenny De Commer, Sergey Neshveyev, Lars Tuset, Makoto Yamashita
Publié dans: Communications in Mathematical Physics, Numéro 367/3, 2019, Page(s) 717-769, ISSN 0010-3616
Éditeur: Springer Verlag
DOI: 10.1007/s00220-019-03317-7

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

Auteurs: Kristin Courtney, Tatiana Shulman
Publié dans: Proceedings of the American Mathematical Society, Numéro 148/2, 2020, Page(s) 765-776, ISSN 0002-9939
Éditeur: American Mathematical Society
DOI: 10.1090/proc/14746

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

Auteurs: Kenny De Commer, Matthias Floré
Publié dans: Selecta Mathematica, Numéro 25/1, 2019, ISSN 1022-1824
Éditeur: Birkhauser Verlag
DOI: 10.1007/s00029-019-0456-0

Geometric Classification of Graph C*-algebras over Finite Graphs

Auteurs: Søren Eilers, Gunnar Restorff, Efren Ruiz, Adam P.W. Sørensen
Publié dans: Canadian Journal of Mathematics, Numéro 70/2, 2018, Page(s) 294-353, ISSN 0008-414X
Éditeur: Canadian Mathematical Society
DOI: 10.4153/cjm-2017-016-7

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

Auteurs: SARA E. ARKLINT, SØREN EILERS, EFREN RUIZ
Publié dans: Ergodic Theory and Dynamical Systems, Numéro 38/7, 2018, Page(s) 2401-2421, ISSN 0143-3857
Éditeur: Cambridge University Press
DOI: 10.1017/etds.2016.141

Projective Modules Over Quantum Projective Line

Auteurs: Albert Jeu-Liang Sheu
Publié dans: International Journal of Mathematics, Numéro 28/03, 2017, Page(s) 1750022, ISSN 0129-167X
Éditeur: World Scientific Publishing Co
DOI: 10.1142/s0129167x17500227

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

Auteurs: Carla Farsi, Elizabeth Gillaspy, Palle Jorgensen, Sooran Kang, Judith Packer
Publié dans: Journal of Mathematical Analysis and Applications, Numéro 468/2, 2018, Page(s) 766-798, ISSN 0022-247X
Éditeur: Academic Press
DOI: 10.1016/j.jmaa.2018.08.051

Projections over quantum homogeneous odd-dimensional spheres

Auteurs: Albert Jeu-Liang Sheu
Publié dans: Journal of Functional Analysis, Numéro 277/10, 2019, Page(s) 3491-3512, ISSN 0022-1236
Éditeur: Academic Press
DOI: 10.1016/j.jfa.2019.05.006

Noncommutative solenoids and the Gromov-Hausdorff propinquity

Auteurs: Frédéric Latrémolière, Judith Packer
Publié dans: Proceedings of the American Mathematical Society, Numéro 145/5, 2017, Page(s) 2043-2057, ISSN 0002-9939
Éditeur: American Mathematical Society
DOI: 10.1090/proc/13229

Equivalence of quantum metrics with a common domain

Auteurs: Frédéric Latrémolière
Publié dans: Journal of Mathematical Analysis and Applications, Numéro 443/2, 2016, Page(s) 1179-1195, ISSN 0022-247X
Éditeur: Academic Press
DOI: 10.1016/j.jmaa.2016.05.045

Vector bundles for “Matrix algebras converge to the sphere”

Auteurs: Marc A. Rieffel
Publié dans: Journal of Geometry and Physics, Numéro 132, 2018, Page(s) 181-204, ISSN 0393-0440
Éditeur: Elsevier BV
DOI: 10.1016/j.geomphys.2018.06.003

The Podleś sphere as a spectral metric space

Auteurs: Konrad Aguilar, Jens Kaad
Publié dans: Journal of Geometry and Physics, Numéro 133, 2018, Page(s) 260-278, ISSN 0393-0440
Éditeur: Elsevier BV
DOI: 10.1016/j.geomphys.2018.07.015

Convergence of Cauchy sequences for the covariant Gromov–Hausdorff propinquity

Auteurs: Frédéric Latrémolière
Publié dans: Journal of Mathematical Analysis and Applications, Numéro 469/1, 2019, Page(s) 378-404, ISSN 0022-247X
Éditeur: Academic Press
DOI: 10.1016/j.jmaa.2018.09.018

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

Auteurs: Ludwik Dąbrowski, Francesco D’Andrea, Andrzej Sitarz
Publié dans: Letters in Mathematical Physics, Numéro 108/5, 2018, Page(s) 1323-1340, ISSN 0377-9017
Éditeur: Kluwer Academic Publishers
DOI: 10.1007/s11005-017-1036-x

Gauss-Bonnet for matrix conformally rescaled Dirac

Auteurs: Masoud Khalkhali, Andrzej Sitarz
Publié dans: Journal of Mathematical Physics, Numéro 59/6, 2018, Page(s) 063505, ISSN 0022-2488
Éditeur: American Institute of Physics
DOI: 10.1063/1.4997381

Spectral triples on the Jiang-Su algebra

Auteurs: Jacopo Bassi, Ludwik Dąbrowski
Publié dans: Journal of Mathematical Physics, Numéro 59/5, 2018, Page(s) 053507, ISSN 0022-2488
Éditeur: American Institute of Physics
DOI: 10.1063/1.5026311

Families of spectral triples and foliations of space(time)

Auteurs: Koen van den Dungen
Publié dans: Journal of Mathematical Physics, Numéro 59/6, 2018, Page(s) 063507, ISSN 0022-2488
Éditeur: American Institute of Physics
DOI: 10.1063/1.5021305

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

Auteurs: Ismael Cohen, Elmar Wagner
Publié dans: Rocky Mountain Journal of Mathematics, Numéro 48/5, 2018, Page(s) 1485-1510, ISSN 0035-7596
Éditeur: 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

Auteurs: Ludwik Dąbrowski, Andrzej Sitarz
Publié dans: Journal of High Energy Physics, Numéro 2019/2, 2019, ISSN 1029-8479
Éditeur: Institute of Physics Publishing
DOI: 10.1007/jhep02(2019)068

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

Auteurs: K. De Commer, M. Matassa
Publié dans: Advances in Mathematics, Numéro 366, 2020, Page(s) 107029, ISSN 0001-8708
Éditeur: Academic Press
DOI: 10.1016/j.aim.2020.107029

Triviality of equivariant maps in crossed products and matrix algebras

Auteurs: Benjamin W Passer
Publié dans: The Quarterly Journal of Mathematics, Numéro 70/1, 2018, Page(s) 289-303, ISSN 0033-5606
Éditeur: Oxford University Press
DOI: 10.1093/qmath/hay044

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

Auteurs: Elmar Wagner
Publié dans: Journal of Physics: Conference Series, Numéro 670, 2016, Page(s) 012053, ISSN 1742-6588
Éditeur: Institute of Physics
DOI: 10.1088/1742-6596/670/1/012053

Integrable lifts for transitive Lie algebroids

Auteurs: Iakovos Androulidakis, Paolo Antonini
Publié dans: International Journal of Mathematics, Numéro 29/09, 2018, Page(s) 1850062, ISSN 0129-167X
Éditeur: World Scientific Publishing Co
DOI: 10.1142/S0129167X18500623

Noncommutative Borsuk-Ulam-type conjectures

Auteurs: Paul F. Baum, Ludwik Dąbrowski, Piotr M. Hajac
Publié dans: Banach Center Publications, Numéro 106, 2015, Page(s) 9-18, ISSN 0137-6934
Éditeur: Banach Center Publications
DOI: 10.4064/bc106-0-1

Variations of projectivity for C∗-algebras

Auteurs: Don Hadwin, Tatiana Shulman
Publié dans: Pacific Journal of Mathematics, Numéro 301/2, 2019, Page(s) 421-440, ISSN 0030-8730
Éditeur: University of California at Berkeley
DOI: 10.2140/pjm.2019.301.421

The index of generalised Dirac–Schrödinger operators

Auteurs: Koen van den Dungen
Publié dans: Journal of Spectral Theory, Numéro 9/4, 2019, Page(s) 1459-1506, ISSN 1664-039X
Éditeur: European Mathematical Society Publishing House
DOI: 10.4171/JST/283

A Correspondence Between Homogeneous and Galois Coactions of Hopf Algebras

Auteurs: Kenny De Commer, Johan Konings
Publié dans: Algebras and Representation Theory, 2020, ISSN 1386-923X
Éditeur: Kluwer Academic Publishers
DOI: 10.1007/s10468-019-09892-6

The modular Gromov–Hausdorff propinquity

Auteurs: Frédéric Latrémolière
Publié dans: Dissertationes Mathematicae, Numéro 544, 2019, Page(s) 1-70, ISSN 0012-3862
Éditeur: Institute of Mathematics, Polish Academy of Sciences
DOI: 10.4064/dm778-5-2019

The covariant Gromov–Hausdorff propinquity

Auteurs: Frédéric Latrémolière
Publié dans: Studia Mathematica, Numéro 251/2, 2020, Page(s) 135-169, ISSN 0039-3223
Éditeur: Polska Akademia Nauk
DOI: 10.4064/sm180610-28-12

Monic representations of finite higher-rank graphs

Auteurs: CARLA FARSI, ELIZABETH GILLASPY, PALLE JORGENSEN, SOORAN KANG, JUDITH PACKER
Publié dans: Ergodic Theory and Dynamical Systems, Numéro 40/5, 2020, Page(s) 1238-1267, ISSN 0143-3857
Éditeur: Cambridge University Press
DOI: 10.1017/etds.2018.79

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

Auteurs: Frédéric Latrémolière
Publié dans: Journal of Geometry and Physics, Numéro 146, 2019, Page(s) 103481, ISSN 0393-0440
Éditeur: Elsevier BV
DOI: 10.1016/j.geomphys.2019.103481

Spin geometry of the rational noncommutative torus

Auteurs: Alessandro Carotenuto, Ludwik Dąbrowski
Publié dans: Journal of Geometry and Physics, Numéro 144, 2019, Page(s) 28-42, ISSN 0393-0440
Éditeur: Elsevier BV
DOI: 10.1016/j.geomphys.2019.05.008

Model theory and Rokhlin dimension for compact quantum group actions

Auteurs: Eusebio Gardella, Mehrdad Kalantar, Martino Lupini
Publié dans: Journal of Noncommutative Geometry, Numéro 13/2, 2019, Page(s) 711-767, ISSN 1661-6952
Éditeur: European Mathematical Society Publishing House
DOI: 10.4171/jncg/337

Compact group actions on topological and noncommutative joins

Auteurs: Alexandru Chirvasitu, Benjamin Passer
Publié dans: Proceedings of the American Mathematical Society, Numéro 146/8, 2018, Page(s) 3217-3232, ISSN 0002-9939
Éditeur: American Mathematical Society
DOI: 10.1090/proc/13941

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

Auteurs: Pavle Pandžić, Petr Somberg
Publié dans: Journal of Mathematical Physics, Numéro 58/4, 2017, Page(s) 041702, ISSN 0022-2488
Éditeur: American Institute of Physics
DOI: 10.1063/1.4979623

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

Auteurs: Konrad Aguilar
Publié dans: Journal of Operator Theory, 2019, ISSN 0379-4024
Éditeur: Academia Romana
DOI: 10.7900/jot.2018jun13.2222

Cuntz Semigroups of Compact-Type Hopf C*-Algebras

Auteurs: Dan Kučerovský
Publié dans: Axioms, Numéro 6/4, 2017, Page(s) 1, ISSN 2075-1680
Éditeur: MDPI
DOI: 10.3390/axioms6010001

Cotangent bundles for “matrix algebras converge to the sphere”

Auteurs: Marc A. Rieffel
Publié dans: Expositiones Mathematicae, 2020, ISSN 0723-0869
Éditeur: Elsevier BV
DOI: 10.1016/j.exmath.2020.01.006

Book chapters (3)

Filtered K-theory for graph algebras

Auteurs: Søren Eilers, Gunnar Restorff, Efren Ruiz, Adam P.W. Sørensen
Publié dans: MATRIX Book Series, Numéro 1, 2018, Page(s) 229–249
Éditeur: Springer

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

Auteurs: Ludwik Dąbrowski
Publié dans: Geometric Methods in Physics XXXVI, 2017
Éditeur: Birkhäuser

Dirac Operator on a Noncommutative Toeplitz Torus

Auteurs: Fredy Díaz García, Elmar Wagner
Publié dans: Geometric Methods in Physics XXXVI - Workshop and Summer School, Białowieża, Poland, 2017, 2019, Page(s) 103-109, ISBN 978-3-030-01155-0
Éditeur: 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

Auteurs: Francesca Arici, Piotr M. Hajac, Mariusz Tobolski
Publié dans: Quantum Dynamics, 2020
Éditeur: Banach Center Publications

Standard homogeneous C*-algebras as compact quantum metric spaces

Auteurs: Konrad Aguilar, Tristan Bice
Publié dans: Quantum Dynamics, 2020
Éditeur: Banach Center Publications

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

Auteurs: Konrad Aguilar, Frederic Latremoliere
Publié dans: Quantum Dynamics, 2020
Éditeur: Banach Center Publications

Translations in quantum groups

Auteurs: Alexandru Chirvasitu
Publié dans: Quantum Dynamics, 2020
Éditeur: Banach Center Publications

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

Auteurs: Alfons Van Daele
Publié dans: Quantum Dynamics, 2020
Éditeur: Banach Center Publications

A spectral triple for noncommutative compact surfaces

Auteurs: Fredy Díaz García, Elmar Wagner
Publié dans: Quantum Dynamics, 2020
Éditeur: Banach Center Publications

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

Auteurs: D Goswami, S Joardar
Publié dans: Quantum Dynamics, 2020
Éditeur: Banach Center Publications

A graded pullback structure of Leavitt path algebras of trimmable graphs

Auteurs: Piotr M. Hajac, Atabey Kaygun, Mariusz Tobolski
Publié dans: Quantum Dynamics, 2020
Éditeur: Banach Center Publications

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

Auteurs: Piotr M. Hajac, Sarah Reznikoff, Mariusz Tobolski
Publié dans: Quantum Dynamics, 2020
Éditeur: Banach Center Publications

The asymptotic Connes-Moscovici characteristic map and the index cocycles

Auteurs: Atabey Kaygun, Serkan Sütlü
Publié dans: Quantum Dynamics, 2020
Éditeur: Banach Center Publications

K-theory of cluster C*-algebras

Auteurs: Igor Nikolaev
Publié dans: Quantum Dynamics, 2020
Éditeur: Banach Center Publications

Epsilon factors as algebraic characters on the smooth dual of GLn

Auteurs: Roger Plymen
Publié dans: Quantum Dynamics, 2020
Éditeur: Banach Center Publications

A Note on the Quantum Family of Maps

Auteurs: Albert Jeu-Liang Sheu, Thomas Timmermann
Publié dans: Quantum Dynamics, 2020
Éditeur: Banach Center Publications

Non-peer reviewed articles (7)

Equivariant Dimensions of Graph C*-algebras

Auteurs: Alexandru Chirvasitu, Benjamin Passer, Mariusz Tobolski
Publié dans: The Journal of Functional Analysis, 2020, ISSN 0022-1236
Éditeur: Academic Press

Invariant quantum measure on q-deformed twisted adjoint orbits

Auteurs: Kenny De Commer
Publié dans: Representation Theory, 2020, ISSN 1088-4165
Éditeur: American Mathematical Society

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

Auteurs: Ulrich Kraehmer, Elmar Wagner
Publié dans: Operator Theory: Advances and Applications, 2020, ISSN 2543-0483
Éditeur: Springer Nature

Vector Bundles over Multipullback Quantum Complex Projective Spaces

Auteurs: Albert Jeu-Liang Sheu
Publié dans: Journal of Noncommutative Geometry, 2020, ISSN 1661-6952
Éditeur: European Mathematical Society Publishing House

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

Auteurs: Mitsuru Wilson
Publié dans: SIGMA, 2020, ISSN 1815-0659
Éditeur: Department of Applied Research, Institute of Mathematics of National Academy of Science of Ukraine

The classification of Rokhlin flows on C*-algebras

Auteurs: Gabor Szabo
Publié dans: Communications in Mathematical Physics, 2020, ISSN 1432-0916
Éditeur: Springer

Noncommutative Borsuk-Ulam-type conjectures revisited

Auteurs: Ludwik Dąbrowski, Piotr M. Hajac, Sergey Neshveyev
Publié dans: JOURNAL OF NONCOMMUTATIVE GEOMETRY, 2020, ISSN 1661-6960
Éditeur: EMS
DOI: 10.4171/jncg/xxx