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arXiv · 1201.0792

Amenability for Fell bundles over groupoids

Aidan Sims·Dana P. Williams
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Abstract

We establish conditions under which the universal and reduced norms coincide for a Fell bundle over a groupoid. Specifically, we prove that the full and reduced C*-algebras of any Fell bundle over a measurewise amenable groupoid coincide, and also that for a groupoid G whose orbit space is T_0, the full and reduced algebras of a Fell bundle over G coincide if the full and reduced algebras of the restriction of the bundle to each isotropy group coincide.

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Aidan Sims, Dana P. Williams. 2012-01-04. Amenability for Fell bundles over groupoids. https://arxiv.org/abs/1201.0792

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