Irreducible induced representations of Fell bundle 𝐶*-algebras

Ionescu, Marius; Williams, Dana

doi:10.1090/S0002-9947-2014-06316-2

Irreducible induced representations of Fell bundle $C^*$-algebras
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by Marius Ionescu and Dana P. Williams PDF

Trans. Amer. Math. Soc. 367 (2015), 5059-5079 Request permission

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.

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