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

Authors
Publisher
AMPAI and CUP
Publication Date
Keywords
  • Crossed Product C*-Algebras
  • Irreducible Representations
  • 46L55
  • 46L05
Disciplines
  • Mathematics

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. 10.1017/S0004972712001049

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