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

Date
2013
Authors
Kamalov, Firuz
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Abstract
We study the space of irreducible representations of a crossed product C*-algebra A⋊σ G, where G is a finite group. We construct a space Γ 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 Γ and that the orbit space G\Γ corresponds bijectively to the dual of A⋊σG. © 2013 Australian Mathematical Publishing Association Inc.
Description
This article is not available at CUD collection. The version of scholarly record of this Article is published in Bulletin of the Australian Mathematical Society (2013), available online at: https://doi.org/10.1017/S0004972712001049.
Keywords
Crossed product C*-algebra, Dual structure, Finite groups
Citation
Kamalov, F. (2013). The dual structure of crossed product C*-algebras with finite groups. Bulletin of the Australian Mathematical Society, 88(2), 243–249. https://doi.org/10.1017/S0004972712001049