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

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.