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...
Збережено в:
Дата: | 2012 |
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Автори: | , |
Формат: | Стаття |
Мова: | English |
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Інститут математики НАН України
2012
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Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/148677 |
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Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
Цитувати: | 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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irk-123456789-1486772019-02-19T01:28:00Z Covariant Fields of C*-Algebras under Rieffel Deformation Belmonte, F. Măntoiu, M. 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. 2012 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/148677 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
collection |
DSpace DC |
language |
English |
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. |
format |
Article |
author |
Belmonte, F. Măntoiu, M. |
spellingShingle |
Belmonte, F. Măntoiu, M. Covariant Fields of C*-Algebras under Rieffel Deformation Symmetry, Integrability and Geometry: Methods and Applications |
author_facet |
Belmonte, F. Măntoiu, M. |
author_sort |
Belmonte, F. |
title |
Covariant Fields of C*-Algebras under Rieffel Deformation |
title_short |
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_sort |
covariant fields of c*-algebras under rieffel deformation |
publisher |
Інститут математики НАН України |
publishDate |
2012 |
url |
http://dspace.nbuv.gov.ua/handle/123456789/148677 |
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. |
series |
Symmetry, Integrability and Geometry: Methods and Applications |
work_keys_str_mv |
AT belmontef covariantfieldsofcalgebrasunderrieffeldeformation AT mantoium covariantfieldsofcalgebrasunderrieffeldeformation |
first_indexed |
2023-05-20T17:31:11Z |
last_indexed |
2023-05-20T17:31:11Z |
_version_ |
1796153472464191488 |