Equivalence of Fell Systems and their Reduced C*-Algebras
Operator Algebras
2011-01-07 v1 Functional Analysis
K-Theory and Homology
Abstract
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.
Keywords
Cite
@article{arxiv.1101.1235,
title = {Equivalence of Fell Systems and their Reduced C*-Algebras},
author = {El-kaïoum M. Moutuou and Jean-Louis Tu},
journal= {arXiv preprint arXiv:1101.1235},
year = {2011}
}
Comments
17 pages