Part III, Free Actions of Compact Quantum Groups on C*-Algebras
We study and classify free actions of compact quantum groups on unital C∗-algebras in terms of generalized factor systems. Moreover, we use these factor systems to show that all finite coverings of irrational rotation C∗-algebras are cleft.
Saved in:
| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2017 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2017
|
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/148733 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Part III, Free Actions of Compact Quantum Groups on C*-Algebras / K. Schwieger, S. Wagner // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 34 назв. — англ. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862750551149641728 |
|---|---|
| author | Schwieger, K. Wagner, S. |
| author_facet | Schwieger, K. Wagner, S. |
| citation_txt | Part III, Free Actions of Compact Quantum Groups on C*-Algebras / K. Schwieger, S. Wagner // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 34 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We study and classify free actions of compact quantum groups on unital C∗-algebras in terms of generalized factor systems. Moreover, we use these factor systems to show that all finite coverings of irrational rotation C∗-algebras are cleft.
|
| first_indexed | 2025-12-07T21:06:26Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-148733 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T21:06:26Z |
| publishDate | 2017 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Schwieger, K. Wagner, S. 2019-02-18T18:18:59Z 2019-02-18T18:18:59Z 2017 Part III, Free Actions of Compact Quantum Groups on C*-Algebras / K. Schwieger, S. Wagner // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 34 назв. — англ. 1815-0659 https://nasplib.isofts.kiev.ua/handle/123456789/148733 We study and classify free actions of compact quantum groups on unital C∗-algebras in terms of generalized factor systems. Moreover, we use these factor systems to show that all finite coverings of irrational rotation C∗-algebras are cleft. We would like to acknowledge the Center of Excellence in Analysis and Dynamics Research
 (Academy of Finland, decision no. 271983 and no. 1138810) for supporting this research. The
 second name author also thanks the research fonds of the Department of Mathematics of the
 University of Hamburg. We would also like to express our greatest gratitude to the referees for
 providing very fruitful criticism. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Part III, Free Actions of Compact Quantum Groups on C*-Algebras Article published earlier |
| spellingShingle | Part III, Free Actions of Compact Quantum Groups on C*-Algebras Schwieger, K. Wagner, S. |
| title | Part III, Free Actions of Compact Quantum Groups on C*-Algebras |
| title_full | Part III, Free Actions of Compact Quantum Groups on C*-Algebras |
| title_fullStr | Part III, Free Actions of Compact Quantum Groups on C*-Algebras |
| title_full_unstemmed | Part III, Free Actions of Compact Quantum Groups on C*-Algebras |
| title_short | Part III, Free Actions of Compact Quantum Groups on C*-Algebras |
| title_sort | part iii, free actions of compact quantum groups on c*-algebras |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/148733 |
| work_keys_str_mv | AT schwiegerk partiiifreeactionsofcompactquantumgroupsoncalgebras AT wagners partiiifreeactionsofcompactquantumgroupsoncalgebras |