Equivalence and disintegration theorems for Fell bundles and their $C^{*}$-algebras
Volume 456 / 2008
Dissertationes Mathematicae 456 (2008), 1-57
MSC: Primary 46L55, 46L05.
DOI: 10.4064/dm456-0-1
Abstract
We study the $C^*$-algebras of Fell bundles. In particular, we prove the analogue of Renault's disintegration theorem for groupoids. As in the groupoid case, this result is the key step in proving a deep equivalence theorem for the $C^*$-algebras of Fell bundles.