Open Access
Summer 2013 Amenability for Fell bundles over groupoids
Aidan Sims, Dana P. Williams
Illinois J. Math. 57(2): 429-444 (Summer 2013). DOI: 10.1215/ijm/1408453589
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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Copyright © 2013 University of Illinois at Urbana-Champaign
Aidan Sims and Dana P. Williams "Amenability for Fell bundles over groupoids," Illinois Journal of Mathematics 57(2), 429-444, (Summer 2013). https://doi.org/10.1215/ijm/1408453589
Published: Summer 2013
Vol.57 • No. 2 • Summer 2013
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