Irreducible Representations of C*-crossed products by Finite Groups

Details Irreducible Representations of C*-crossed products by Finite Groups Irreducible Representations of C*-crossed products by Finite Groups

2008-03-27

arxiv.org/abs/0803.3865v2

Journal of the Ramanujan Mathematical Society 25 (2010) 2 pp. 193-231

Mathematics

Operator Algebras

41 Pages. Accepted in the Journal of the Ramanujan Mathematics Society.

Scientific paper

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.

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