Covariant Fields of C * -Algebras under Rieffel Deformation

Symmetry Integrability and Geometry-Methods and Applications

article

Fabian Belmonte  Marius Măntoiu¹ 

[1] Universidad de Chile

关键词: pseudodif ferential operator;    Rief fel deformation;    C ∗ -algebra;    continuous field;    noncommutative dynamical system;   

DOI  :  10.3842/SIGMA.2012.091

来源: National Academy of Science of Ukraine

【 摘 要 】

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.

【 授权许可】

Unknown