Covariant Fields of C*-Algebras under Rieffel Deformation

• 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
• 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.

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...