# Amenability for Fell bundles over groupoids

@article{Sims2012AmenabilityFF,
title={Amenability for Fell bundles over groupoids},
author={Aidan Sims and Dana P. Williams},
journal={Illinois Journal of Mathematics},
year={2012},
volume={57},
pages={429-444}
}
• Published 4 January 2012
• Mathematics
• Illinois Journal of Mathematics
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 T0, 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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