Irreducible Representations of C*-crossed products by Finite Groups

Abstract

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.

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

References in corpus (1)

• The C*-algebra of symmetric words in two universal unitaries

Cited by in corpus (3)

• Covariant Representations of C*-algebras and their Compact Automorphism Groups
• The dual structure of crossed product C*-algebras with finite groups
• Polynomial representations of $C^{\ast }$-algebras and their applications