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Covariant Fields of C*-Algebras under Rieffel DeformationKeywords: pseudodifferential operator , Rieffel deformation , C*-algebra , continuous field , noncommutative dynamical system 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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