A universal property for groupoid C*-algebras. II. Fell bundles
Operator Algebras
2026-04-07 v1
Abstract
We define possibly unsaturated, upper semicontinuous Fell bundles over Hausdorff, locally compact groupoids and establish a universal property for representations of their full section C*-algebras on Hilbert modules over arbitrary C*-algebras. Based on this, we prove that the full section C*-algebra is functorial and exact, and we define a quasi-orbit space and a quasi-orbit map. We deduce and extend Renault's Integration and Disintegration Theorems to general Fell bundles using our universal property.
Cite
@article{arxiv.2604.04397,
title = {A universal property for groupoid C*-algebras. II. Fell bundles},
author = {Alcides Buss and Rohit Holkar and Ralf Meyer},
journal= {arXiv preprint arXiv:2604.04397},
year = {2026}
}
Comments
95 pages