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arXiv:0803.3865 [math.OA]AbstractReferencesReviewsResources

Irreducible Representations of C*-crossed products by Finite Groups

Alvaro Arias, Frederic Latremoliere

Published 2008-03-27, updated 2010-03-10Version 2

We describe the structure of the irreducible representations of crossed products of unital C*-algebras by actions of finite groups in terms of irreducible representations of the C*-algebras on which the groups act. We then apply this description to derive a characterization of irreducible representations of crossed-products by finite cyclic groups in terms of representations of the C*-algebra and its fixed point subalgebra. These results are applied to crossed-products by the permutation group on three elements and illustrated by various examples.

Comments: 41 Pages. Accepted in the Journal of the Ramanujan Mathematics Society.
Journal: Journal of the Ramanujan Mathematical Society 25 (2010) 2 pp. 193-231
Categories: math.OA
Subjects: 46L55, 46L40
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