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arXiv · 2105.02280

Groupoid Semidirect Product Fell Bundles II- Principal Actions and Stabilization

Lucas Hall·S. Kaliszewski·John Quigg·Dana P. Williams
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Abstract

Given a free and proper action of a groupoid on a Fell bundle (over another groupoid), we give an equivalence between the semidirect-product and the generalized-fixed-point Fell bundles, generalizing an earlier result where the action was by a group. As an application, we show that the Stabilization Theorem for Fell bundles over groupoids is essentially another form of crossed-product duality.

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Lucas Hall, S. Kaliszewski, John Quigg, Dana P. Williams. 2021-05-05. Groupoid Semidirect Product Fell Bundles II- Principal Actions and Stabilization. https://arxiv.org/abs/2105.02280

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