Invariants for orbit equivalence relations of Baumslag-Solitar groups

Details Invariants for orbit equivalence relations of Baumslag-Solitar groups Invariants for orbit equivalence relations of Baumslag-Solitar groups

2011-11-16

arxiv.org/abs/1111.3701v1

Mathematics

Group Theory

52 pages

Scientific paper

To an ergodic, essentially free and measure-preserving action of a non-amenable Baumslag-Solitar group on a standard probability space, a flow is associated. The isomorphism class of the flow is shown to be an invariant of such actions of Baumslag-Solitar groups under weak orbit equivalence. Results on groups which are measure equivalent to Baumslag-Solitar groups are also provided.

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