An equivalence theorem for reduced Fell bundle C*-algebras
Operator Algebras
2011-11-28 v1
Abstract
We show that if E is an equivalence of upper semicontinuous Fell bundles B and C over groupoids, then there is a linking bundle L(E) over the linking groupoid L such that the full cross-sectional algebra of L(E) contains those of B and C as complementary full corners, and likewise for reduced cross-sectional algebras. We show how our results generalise to groupoid crossed-products the fact, proved by Quigg and Spielberg, that Raeburn's symmetric imprimitivity theorem passes through the quotient map to reduced crossed products.
Cite
@article{arxiv.1111.5753,
title = {An equivalence theorem for reduced Fell bundle C*-algebras},
author = {Aidan Sims and Dana P. Williams},
journal= {arXiv preprint arXiv:1111.5753},
year = {2011}
}
Comments
17 pages