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Proceedings of the American Mathematical Society
Journal Article

Fell Bundles Over Groupoids

Alex Kumjian
Proceedings of the American Mathematical Society
Vol. 126, No. 4 (Apr., 1998), pp. 1115-1125
Published by: American Mathematical Society
https://www.jstor.org/stable/118621
Page Count: 11

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Topics: Inner products, Equivalence relation, Topological spaces, Tensors, Subalgebras, Operator algebras, Mathematical theorems, Morphisms, Mathematical duality
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Fell Bundles Over Groupoids
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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.
Proceedings of the American Mathematical Society © 1998 American Mathematical Society