HOME > Table of Contents and Abstracts > Vol. 66, No. 2
Tohoku Mathematical Journal
SECOND SERIES VOL. 66, NO. 2
|Tohoku Math. J.|
66 (2014), 205-258
INVARIANTS OF ORBIT EQUIVALENCE RELATIONS AND BAUMSLAG-SOLITAR GROUPS
(Received September 3, 2012)
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.
Mathematics Subject Classification.
Primary 37A20; Secondary 20E06, 20E08.
Key words and phrases.
Baumslag-Solitar groups, orbit equivalence, measure equivalence.
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