Irreducible Induced Representations of Fell Bundle C*-Algebras

Abstract

We give precise conditions under which irreducible representations associated to stability groups induce to irreducible representations for Fell bundle C*-algebras. This result generalizes an earlier result of Echterhoff and the second author. Because the Fell bundle construction subsumes most other examples of C*-algebras constructed from dynamical systems, our result percolates down to many different constructions including the many flavors of groupoid crossed products.

Minor changes suggested by the referee. The paper is accepted for publication in Trans. Amer. Math. Soc

References in corpus (4)

• Renault's Equivalence Theorem for Groupoid Crossed Products
• A higher category approach to twisted actions on C*-algebras
• An equivalence theorem for reduced Fell bundle C*-algebras
• Remarks on the Ideal Structure of Fell Bundle C*-Algebras