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

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2013

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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.

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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

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http://dx.doi.org/10.1017/S0004972712001049
 https://hdl.handle.net/20.500.12519/43

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Department of Electrical Engineering