Rieffel deformation and twisted crossed products

Abstract

To a continuous action of a vector group on a $C^{\ast }$-algebra, twisted by the imaginary exponential of a symplectic form, one associates a Rieffel deformed algebra as well as a twisted crossed product. We show that the second one is isomorphic to the tensor product of the first one with the $C^{\ast }$-algebra of compact operators in a separable Hilbert space and we indicate some applications.

15p. arXiv admin note: substantial text overlap with arXiv:1010.0411

Cited by in corpus (2)

• Smooth crossed products of Rieffel's deformations
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