Groupoid Semidirect Product Fell Bundles II — Principal Actions and Stabilization

Lucas Hall; S. Kaliszewski; John Quigg; Dana P. Williams

doi:10.1512/IUMJ.2023.72.9447

Groupoid Semidirect Product Fell Bundles II — Principal Actions and Stabilization

Lucas Hall, S. Kaliszewski, John Quigg, Dana P. Williams

Mathematical and Statistical Sciences, School of (SoMSS)

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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.

Original language	English (US)
Pages (from-to)	1147-1173
Number of pages	27
Journal	Indiana University Mathematics Journal
Volume	72
Issue number	3
DOIs	https://doi.org/10.1512/IUMJ.2023.72.9447
State	Published - 2023

Keywords

C-algebra
Fell bundle
Groupoid
groupoid crossed product
principal groupoid action

ASJC Scopus subject areas

General Mathematics

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10.1512/IUMJ.2023.72.9447

Cite this

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AU - Williams, Dana P.

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KW - Groupoid

KW - groupoid crossed product

KW - principal groupoid action

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Groupoid Semidirect Product Fell Bundles II — Principal Actions and Stabilization

Abstract

Keywords

ASJC Scopus subject areas

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