HAL will be down for maintenance from Friday, June 10 at 4pm through Monday, June 13 at 9am. More information
Skip to Main content Skip to Navigation
Journal articles

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
Document type :
Journal articles
Complete list of metadata
https://hal.archives-ouvertes.fr/hal-00787309
Contributor : Jean Renault Connect in order to contact the contributor
Submitted on : Monday, February 11, 2013 - 5:25:24 PM
Last modification on : Tuesday, October 12, 2021 - 5:20:12 PM

Links full text

arxiv

Identifiers

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

Collections

CNRS | UNIV-ORLEANS | INSMI | MSL | MSL-THESE | TDS-MACS | IDP

Citation

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

Export

BibTeX TEI DC DCterms EndNote Datacite

Share

Metrics

Record views

82