C$^*$-algebras of Fell bundles over \'etale groupoids
Rohit Dilip Holkar, Md Amir Hossain
TL;DR
This paper introduces a new construction method for the full C*-algebra of Fell bundles over étale groupoids, extending previous approaches without relying on Renault's disintegration theorem.
Contribution
It generalizes the standard construction of C*-algebras of Fell bundles to non-Hausdorff groupoids without using Renault's disintegration theorem.
Findings
Provides a new construction method for full C*-algebras of Fell bundles
Applicable to non-Hausdorff étale groupoids
Extends Muhly and Williams' standard construction
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.
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Taxonomy
TopicsAdvanced Operator Algebra Research · Homotopy and Cohomology in Algebraic Topology · Advanced Topics in Algebra