Amenability for Fell bundles over groupoids

Details Amenability for Fell bundles over groupoids Amenability for Fell bundles over groupoids

2012-01-04

arxiv.org/abs/1201.0792v1

Mathematics

Operator Algebras

13 pages

Scientific paper

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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