Iterated crossed products for groupoid fibrations
arXiv:1604.02015
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.
References in corpus (6)
- Etale groupoids and their quantales
- Renault's Equivalence Theorem for Groupoid Crossed Products
- Renault's Equivalence Theorem for Reduced Groupoid C*-algebras
- Fell bundles over inverse semigroups and twisted etale groupoids
- Coactions and Fell bundles
- Higher Groupoid Actions, Bibundles, and Differentiation