The Mackey machine for crossed products by regular groupoids. II

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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.

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

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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