Morita enveloping Fell bundles
Operator Algebras
2021-08-12 v2
Abstract
We introduce notions of weak and strong equivalence for non-saturated Fell bundles over locally compact groups and show that every Fell bundle is strongly (resp. weakly) equivalent to a semidirect product Fell bundle for a partial (resp. global) action. Equivalences preserve cross-sectional algebras and amenability. We use this to show that previous results on crossed products and amenability of group actions carry over to Fell bundles.
Cite
@article{arxiv.1711.03013,
title = {Morita enveloping Fell bundles},
author = {Fernando Abadie and Alcides Buss and Damián Ferraro},
journal= {arXiv preprint arXiv:1711.03013},
year = {2021}
}
Comments
This version contains some comments and references to a recent work by Kwa\'sniewski and Meyer