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arXiv · 1208.6548

Rieffel deformation and twisted crossed products

I. Beltita·M. Mantoiu
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Abstract

To a continuous action of a vector group on a $C^*$-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 $C^*$-algebra of compact operators in a separable Hilbert space and we indicate some applications.

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I. Beltita, M. Mantoiu. 2012-08-31. Rieffel deformation and twisted crossed products. https://arxiv.org/abs/1208.6548

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