On the topology of the dual space of crossed product C*-algebras with finite groups

Date
2017
Authors
Kamalov, Firuz
Journal Title
Journal ISSN
Volume Title
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.
Description
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.
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