On Nuclearity of $C^{\ast }$-algebras of Fell bundles over étale groupoids

Abstract

In this paper, we show that if E is a Fell bundle over an amenable étale locally compact Hausdorff groupoid such that every fiber on the unit space is nuclear, then $C{?}^{\ast }r(E)$ is also nuclear. In order to show this result, we introduce (minimal) tensor products of Fell bundles with fixed $C^{\ast }$-algebras.

References in corpus (1)

• Renault's Equivalence Theorem for Groupoid Crossed Products