Fell bundles over groupoids

Kumjian, Alex

doi:10.1090/S0002-9939-98-04240-3

Fell bundles over groupoids
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by Alex Kumjian

Proc. Amer. Math. Soc. 126 (1998), 1115-1125

DOI: https://doi.org/10.1090/S0002-9939-98-04240-3

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Abstract:

We study the C*-algebras associated to Fell bundles over groupoids and give a notion of equivalence for Fell bundles which guarantees that the associated C*-algebras are strongly Morita equivalent. As a corollary we show that any saturated Fell bundle is equivalent to a semi-direct product arising from the action of the groupoid on a C*-bundle.

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