Topological amenability is a Borel property

2013/02/04 by Jean Renault, Renault, Jean · 1 citation
Mathematics · #22A22 (22D25 #46L05) #Dynamical Systems (math.DS) #FOS: Mathematics #Operator Algebras (math.OA) #math.DS #math.OA #msc:22A22

paper · pdf · doi:10.48550/arxiv.1302.0636

21 pages, addition of a subsection on groupoid bundles and of some results on subexponential growth, some improvements in the presentation

arxiv created 2013/04/05 · arxiv updated 2013/04/09

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.

Cited by

• Weak containment of representation on topological groupoids

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