Groupoid equivalence and the associated iterated crossed product

Jonathan Henry Brown, Geoff Goehle, Dana P. Williams

Research output: Contribution to journalArticle

Abstract

Given groupoids G and H and a (G, H)-equivalence X we may form the transformation groupoid G ⋉ X ⋊ H. Given a separable groupoid dynamical system (A, G ⋉ X ⋊ H, ω) we may restrict ω to an action of G ⋉ X on A and form the crossed product A ⋊ G ⋉ X. We show that there is an action of H on A ⋊ G ⋉ X and that the iterated crossed product (A ⋊ G ⋉ X) ⋊H is naturally isomorphic to the crossed product A ⋊ (G ⋉ X ⋊ H).

Original languageEnglish (US)
Pages (from-to)153-175
Number of pages23
JournalHouston Journal of Mathematics
Volume41
Issue number1
StatePublished - Jan 1 2015

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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