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 language||English (US)|
|Number of pages||24|
|Journal||Houston Journal of Mathematics|
|State||Published - Jul 22 2010|
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