Open AccessUniversal Borel actions of countable groups
Author(s) -
Simon Thomas
Publication year - 2012
Publication title -
groups geometry and dynamics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.05
H-Index - 25
eISSN - 1661-7215
pISSN - 1661-7207
DOI - 10.4171/ggd/161
Subject(s) - mathematics , countable set , pure mathematics , borel set , second countable space , discrete mathematics
If the countable groupG 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. Mathematics Subject Classification (2010). 03E15, 37A20.
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