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Topological amenability is a Borel property

Jean Renault 1
1 MAPMO - Mathématiques - Analyse, Probabilités, Modélisation - Orléans
Abstract : We establish that a second countable locally compact groupoid possessing a continuous Haar system is topologically amenable if and only if it is Borel amenable. We give some examples and applications.
Keywords : singly generated dynamical system Følner sequence amenable groupoid
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Journal articles
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https://hal.archives-ouvertes.fr/hal-00787309
Contributor : Jean Renault <>
Submitted on : Monday, February 11, 2013 - 5:25:24 PM
Last modification on : Thursday, May 3, 2018 - 3:32:06 PM

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  • HAL Id : hal-00787309, version 1
  • ARXIV : 1302.0636

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Jean Renault. Topological amenability is a Borel property. Math. Scand., 2015, 117, pp.5-30. ⟨hal-00787309⟩

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