Groupoid Semidirect Product Fell Bundles II- Principal Actions and Stabilization
Operator Algebras
2021-12-30 v4
Abstract
Given a free and proper action of a groupoid on a Fell bundle (over another groupoid), we give an equivalence between the semidirect-product and the generalized-fixed-point Fell bundles, generalizing an earlier result where the action was by a group. As an application, we show that the Stabilization Theorem for Fell bundles over groupoids is essentially another form of crossed-product duality.
Keywords
Cite
@article{arxiv.2105.02280,
title = {Groupoid Semidirect Product Fell Bundles II- Principal Actions and Stabilization},
author = {Lucas Hall and S. Kaliszewski and John Quigg and Dana P. Williams},
journal= {arXiv preprint arXiv:2105.02280},
year = {2021}
}
Comments
26 pages. Minor revisions to clarify exposition