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...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
National Academy of Science of Ukraine
2012-11-01
|
| Series: | Symmetry, Integrability and Geometry: Methods and Applications |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.3842/SIGMA.2012.091 |
| _version_ | 1811230770335842304 |
|---|---|
| author | Fabian Belmonte Marius Măntoiu |
| author_facet | Fabian Belmonte Marius Măntoiu |
| author_sort | Fabian Belmonte |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-04-12T10:33:33Z |
| format | Article |
| id | doaj.art-4a73c8dedc8c45c9bc09b91b7efc95e8 |
| institution | Directory Open Access Journal |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2024-04-12T10:33:33Z |
| publishDate | 2012-11-01 |
| publisher | National Academy of Science of Ukraine |
| record_format | Article |
| series | Symmetry, Integrability and Geometry: Methods and Applications |
| spelling | doaj.art-4a73c8dedc8c45c9bc09b91b7efc95e82022-12-22T03:36:46ZengNational Academy of Science of UkraineSymmetry, Integrability and Geometry: Methods and Applications1815-06592012-11-018091Covariant Fields of C*-Algebras under Rieffel DeformationFabian BelmonteMarius MăntoiuWe 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.http://dx.doi.org/10.3842/SIGMA.2012.091pseudodifferential operatorRieffel deformationC*-algebracontinuous fieldnoncommutative dynamical system |
| spellingShingle | Fabian Belmonte Marius Măntoiu Covariant Fields of C*-Algebras under Rieffel Deformation Symmetry, Integrability and Geometry: Methods and Applications pseudodifferential operator Rieffel deformation C*-algebra continuous field noncommutative dynamical system |
| 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 |
| topic | pseudodifferential operator Rieffel deformation C*-algebra continuous field noncommutative dynamical system |
| url | http://dx.doi.org/10.3842/SIGMA.2012.091 |
| work_keys_str_mv | AT fabianbelmonte covariantfieldsofcalgebrasunderrieffeldeformation AT mariusmantoiu covariantfieldsofcalgebrasunderrieffeldeformation |