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The Almost Finite--Purely Infinite Dichotomy\\ for Minimal Amenable Ample Groupoids

Elek, Gábor et al.
arXiv (All) · Papers
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03e15dynamical-systemsoperator-algebras
We answer, in the principal setting, a question of Matui on the almost finite--purely infinite dichotomy for minimal amenable ample groupoids. We prove that a second-countable Hausdorff minimal principal topologically amenable ample groupoid with Cantor unit space is strongly almost finite if and on
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