Covariant Fields of C*-Algebras under Rieffel Deformation
We show that Rieffel's deformation sends covariant C(T)-algebras into C(T)-algebras. We also treat the lower semi-continuity issue, proving that Rieffel's deformation transforms covariant continuous fields of C*-algebras into continuous fields of C*-algebras. Some examples are indicated, i...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2012 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2012
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/148677 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Covariant Fields of C*-Algebras under Rieffel Deformation / F. Belmonte, M. Măntoiu // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 24 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862708994859073536 |
|---|---|
| author | Belmonte, F. Măntoiu, M. |
| author_facet | Belmonte, F. Măntoiu, M. |
| citation_txt | Covariant Fields of C*-Algebras under Rieffel Deformation / F. Belmonte, M. Măntoiu // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 24 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We show that Rieffel's deformation sends covariant C(T)-algebras into C(T)-algebras. We also treat the lower semi-continuity issue, proving that Rieffel's deformation transforms covariant continuous fields of C*-algebras into continuous fields of C*-algebras. Some examples are indicated, including certain quantum groups.
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| first_indexed | 2025-12-07T17:14:33Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-148677 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T17:14:33Z |
| publishDate | 2012 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Belmonte, F. Măntoiu, M. 2019-02-18T17:50:03Z 2019-02-18T17:50:03Z 2012 Covariant Fields of C*-Algebras under Rieffel Deformation / F. Belmonte, M. Măntoiu // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 24 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 35S05; 81Q10; 46L55; 47C15 DOI: http://dx.doi.org/10.3842/SIGMA.2012.091 https://nasplib.isofts.kiev.ua/handle/123456789/148677 We show that Rieffel's deformation sends covariant C(T)-algebras into C(T)-algebras. We also treat the lower semi-continuity issue, proving that Rieffel's deformation transforms covariant continuous fields of C*-algebras into continuous fields of C*-algebras. Some examples are indicated, including certain quantum groups. The authors were partially supported by N´ucleo Cientifico ICM P07-027-F “Mathematical Theory of Quantum and Classical Magnetic Systems”. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Covariant Fields of C*-Algebras under Rieffel Deformation Article published earlier |
| spellingShingle | Covariant Fields of C*-Algebras under Rieffel Deformation Belmonte, F. Măntoiu, M. |
| title | Covariant Fields of C*-Algebras under Rieffel Deformation |
| title_full | Covariant Fields of C*-Algebras under Rieffel Deformation |
| title_fullStr | Covariant Fields of C*-Algebras under Rieffel Deformation |
| title_full_unstemmed | Covariant Fields of C*-Algebras under Rieffel Deformation |
| title_short | Covariant Fields of C*-Algebras under Rieffel Deformation |
| title_sort | covariant fields of c*-algebras under rieffel deformation |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/148677 |
| work_keys_str_mv | AT belmontef covariantfieldsofcalgebrasunderrieffeldeformation AT mantoium covariantfieldsofcalgebrasunderrieffeldeformation |