Iterated crossed products for groupoid fibrations
Operator Algebras
2016-04-08 v1
Abstract
We define and study fibrations of topological groupoids. We interpret a groupoid fibration L->H with fibre G as an action of H on G by groupoid equivalences. Our main result shows that a crossed product for an action of L is isomorphic to an iterated crossed product first by G and then by H. Here groupoid action means a Fell bundle over the groupoid, and crossed product means the section C*-algebra.
Keywords
Cite
@article{arxiv.1604.02015,
title = {Iterated crossed products for groupoid fibrations},
author = {Alcides Buss and Ralf Meyer},
journal= {arXiv preprint arXiv:1604.02015},
year = {2016}
}