English

Irreducible Induced Representations of Fell Bundle C*-Algebras

Operator Algebras 2013-11-08 v2

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.

Keywords

Cite

@article{arxiv.1305.2843,
  title  = {Irreducible Induced Representations of Fell Bundle C*-Algebras},
  author = {Marius Ionescu and Dana P. Williams},
  journal= {arXiv preprint arXiv:1305.2843},
  year   = {2013}
}

Comments

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