C$^*$-algebras of Fell bundles over \'etale groupoids

Abstract

We describe a construction for the full C$^*$-algebra of a possibly unsaturated Fell bundle over a possibly non-Hausdorff locally compact \'etale groupoid without appealing to Renault's disintegration theorem. This construction generalises the standard construction given by Muhly and Williams.Comment: 15 pages. Initial version, comments are welcom