Equivalence of Fell Systems and their Reduced C*-Algebras

Details Equivalence of Fell Systems and their Reduced C*-Algebras Equivalence of Fell Systems and their Reduced C*-Algebras

2011-01-06

arxiv.org/abs/1101.1235v1

Mathematics

Operator Algebras

17 pages

Scientific paper

This paper is aimed at investigating links between Fell bundles over Morita equivalent groupoids and their corresponding reduced C*-algebras. Mainly, we review the notion of Fell pairs over a Morita equivalence of groupoids, and give the analogue of the Renault's Equivalence Theorem for the reduced C*-algebras of equivalent Fell systems. Eventually, we will use this theorem to connect the reduced C*-algebra of an S^1-central groupoid extension to that of its associated Dixmier-Douady bundle.

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