- journal article metadata
European Mathematical Society Publishing House
2016-09-19 17:04:59
Groups, Geometry, and Dynamics
Groups Geom. Dyn.
GGD
1661-7207
1661-7215
Group theory and generalizations
10.4171/GGD
http://www.ems-ph.org/doi/10.4171/GGD
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European Mathematical Society Publishing House
Zuerich, Switzerland
© European Mathematical Society
6
2012
2
Universal Borel actions of countable groups
Simon
Thomas
Rutgers University, PISCATAWAY, UNITED STATES
Borel equivalence relation, superrigidity, sofic groups
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.
Mathematical logic and foundations
Dynamical systems and ergodic theory
General
389
407
10.4171/GGD/161
http://www.ems-ph.org/doi/10.4171/GGD/161