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arXiv · 1604.02015

Iterated crossed products for groupoid fibrations

Alcides Buss·Ralf Meyer
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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.

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Alcides Buss, Ralf Meyer. 2016-04-07. Iterated crossed products for groupoid fibrations. https://arxiv.org/abs/1604.02015

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