Geodesic
Universal Borel actions of countable groups
Simon Thomas1 orcid
1Rutgers University, Piscataway, United States
Groups, geometry, and dynamics, Tome 6 (2012) no. 2, pp. 389-407

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DOI

If the countable group G has a nonabelian free subgroup, then there exists a standard Borel G-space such that the corresponding orbit equivalence relation is countable universal. In this paper, we will consider the question of whether the converse also holds.
DOI : 10.4171/ggd/161
Classification : 03-XX, 37-XX, 00-XX
Mots-clés : Borel equivalence relation, superrigidity, sofic groups

Simon Thomas  1

1 Rutgers University, Piscataway, United States 
Simon Thomas. Universal Borel actions of countable groups. Groups, geometry, and dynamics, Tome 6 (2012) no. 2, pp. 389-407. doi: 10.4171/ggd/161
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     number = {2},
     doi = {10.4171/ggd/161},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/161/}
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