The borders I crossed

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The Mackey Machine for Crossed Products by Regular Groupoids. I

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 ∈ G(0), A(u) is a fibre of A, and Su is a stabilizer subgroup of G.

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Contradictions at the Borders

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Article history: Received 6 January 2012 Revised 20 August 2012 Available online 17 October 2012 JEL classification: F16 F22 F66 J61 O15

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ژورنال

عنوان ژورنال: Science

سال: 2014

ISSN: 0036-8075,1095-9203

DOI: 10.1126/science.345.6204.1650