The mackey machine for crossed products by regular groupoids. I

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Abstract

We first describe a Rieffel induction system for groupoid crossed products. We then use this induction system to show that, given a regular groupoid G and a dynamical system (A, G, α), every irreducible representation of A ⋊ G is induced from a representation of the group crossed product A(u) ⋊ Su where u ε G(0), A(u) is a fibre of A, and Su is a stabilizer subgroup of G.

Original languageEnglish (US)
Pages (from-to)567-590
Number of pages24
JournalHouston Journal of Mathematics
Volume36
Issue number2
StatePublished - Jul 22 2010

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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