Covariant Fields of C*-Algebras under Rieffel Deformation
arXiv:1101.2751 · doi:10.3842/SIGMA.2012.091
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.