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arxiv: 1809.02461 · v1 · pith:4GWHZTOPnew · submitted 2018-09-07 · 🧮 math.OA · math-ph· math.DS· math.MP

Quasi-invariant measures for generalized approximately proper equivalence relations

classification 🧮 math.OA math-phmath.DSmath.MP
keywords approximatelyequivalencegroupoidproperrelationsbuildchoosingcocycle
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We introduce a generalization of the notion of approximately proper equivalence relations studied by Renault and with it we build an \'etale groupoid. Choosing a suitable set of continuous functions to play the role of a potential, we construct a cocycle in that groupoid and discuss the corresponding Radon-Nikodym problem.

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