Covariant Fields of C*-Algebras under Rieffel Deformation

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: Belmonte, F., Măntoiu, M.
Format: Article
Language:English
Published: Інститут математики НАН України 2012
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
id nasplib_isofts_kiev_ua-123456789-148677
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
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
title Covariant Fields of C*-Algebras under Rieffel Deformation
spellingShingle Covariant Fields of C*-Algebras under Rieffel Deformation
Belmonte, F.
Măntoiu, M.
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
author Belmonte, F.
Măntoiu, M.
author_facet Belmonte, F.
Măntoiu, M.
publishDate 2012
language English
container_title Symmetry, Integrability and Geometry: Methods and Applications
publisher Інститут математики НАН України
format Article
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.
issn 1815-0659
url https://nasplib.isofts.kiev.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.
work_keys_str_mv AT belmontef covariantfieldsofcalgebrasunderrieffeldeformation
AT mantoium covariantfieldsofcalgebrasunderrieffeldeformation
first_indexed 2025-12-07T17:14:33Z
last_indexed 2025-12-07T17:14:33Z
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