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arXiv · 1208.2124

The dual structure of crossed product C*-algebras with finite groups

Firuz Kamalov
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Abstract

We study the space of irreducible representations of a crossed product C*-algebra AxG, where G is a finite group. We construct a space $\Gamma$ which consists of pairs of irreducible representations of A and irreducible projective representations of subgroups of G. We show that there is a natural action of G on $\Gamma$ and that the orbit space G \ $\Gamma$ corresponds bijectively to the dual of AxG.

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Firuz Kamalov. 2012-08-10. The dual structure of crossed product C*-algebras with finite groups. https://arxiv.org/abs/1208.2124

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