The Mackey machine for crossed products by regular groupoids. II

Research output: Contribution to journalArticle

3 Citations (Scopus)

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 languageEnglish (US)
Pages (from-to)873-900
Number of pages28
JournalRocky Mountain Journal of Mathematics
Volume42
Issue number3
DOIs
StatePublished - Dec 1 2012

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Groupoid
Groupoids
Crossed Product
Haar System
Orbit Space
Isotropy
Strengthening
Homeomorphic
Proof by induction
Dynamical system
Algebra

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

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The Mackey machine for crossed products by regular groupoids. II. / Goehle, Geoff.

In: Rocky Mountain Journal of Mathematics, Vol. 42, No. 3, 01.12.2012, p. 873-900.

Research output: Contribution to journalArticle

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