On the topology of the dual space of crossed product C*-algebras with finite groups
Date
2017
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Publisher
Korean Mathematical Society
Abstract
In this note we extend our previous result about the structure of the dual of a crossed product C*-algebra A ⋊σG, when G is a finite group. We consider the space Γ which consists of pairs of irreducible rep-resentations of A and irreducible projective representations of subgroups of G. Our goal is to endow Γ with a topology so that the orbit space G\Γ is homeomorphic to the dual of A ⋊σG. In particular, we will show that if b A is Hausdorff then G\Γ is homeomorphic to A ⋊σG. © 2017 Korean Mathematical Society.
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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 Korean Mathematical Society (2017), available online at: https://doi.org/10.4134/BKMS.b150688.
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Article
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Keywords
Crossed product C*-algebra
Citation
Kamalov, F. (2017). On the topology of the dual space of crossed product C*-algebras with finite groups. Bulletin of the Korean Mathematical Society, 54(2), 391–397. https://doi.org/10.4134/BKMS.b150688