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arXiv · 1101.2751

Covariant Fields of C*-Algebras under Rieffel Deformation

Fabian Belmonte·Marius Mantoiu
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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.

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Fabian Belmonte, Marius Mantoiu. 2012-11-28. Covariant Fields of C*-Algebras under Rieffel Deformation. https://doi.org/10.3842/sigma.2012.091

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