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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Бібліографічні деталі
Дата:2012
Автори: Belmonte, F., Măntoiu, M.
Формат: Стаття
Мова:English
Опубліковано: Інститут математики НАН України 2012
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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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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spelling 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
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