The Mackey machine for crossed products by regular groupoids. II

Geoff Goehle

doi:10.1216/RMJ-2012-42-3-873

The Mackey machine for crossed products by regular groupoids. II

Geoff Goehle

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

5 Scopus citations

Abstract

We prove that given a regular groupoid G whose isotropy subgroupoid S has a Haar system, along with a dynamical system (A, G, α), there is an action of G on the spectrum of A × S such that the spectrum of A × G is homeomorphic to the orbit space of this action via induction. In addition, we give a strengthening of these results in the case where the crossed product is a groupoid algebra.

Original language	English (US)
Pages (from-to)	873-900
Number of pages	28
Journal	Rocky Mountain Journal of Mathematics
Volume	42
Issue number	3
DOIs	https://doi.org/10.1216/RMJ-2012-42-3-873
State	Published - 2012

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1216/RMJ-2012-42-3-873

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abstract = "We prove that given a regular groupoid G whose isotropy subgroupoid S has a Haar system, along with a dynamical system (A, G, α), there is an action of G on the spectrum of A × S such that the spectrum of A × G is homeomorphic to the orbit space of this action via induction. In addition, we give a strengthening of these results in the case where the crossed product is a groupoid algebra.",

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AB - We prove that given a regular groupoid G whose isotropy subgroupoid S has a Haar system, along with a dynamical system (A, G, α), there is an action of G on the spectrum of A × S such that the spectrum of A × G is homeomorphic to the orbit space of this action via induction. In addition, we give a strengthening of these results in the case where the crossed product is a groupoid algebra.

UR - https://www.scopus.com/pages/publications/84873357171

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DO - 10.1216/RMJ-2012-42-3-873

M3 - Article

AN - SCOPUS:84873357171

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ER -

The Mackey machine for crossed products by regular groupoids. II

Abstract

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