Covariant Fields of C*-Algebras under Rieffel Deformation
Operator Algebras
2012-11-29 v3 Spectral Theory
Abstract
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.
Keywords
Cite
@article{arxiv.1101.2751,
title = {Covariant Fields of C*-Algebras under Rieffel Deformation},
author = {Fabian Belmonte and Marius Mantoiu},
journal= {arXiv preprint arXiv:1101.2751},
year = {2012}
}