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arXiv · 1111.3701

Invariants of orbit equivalence relations and Baumslag-Solitar groups

Yoshikata Kida
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Abstract

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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Yoshikata Kida. 2013-06-05. Invariants of orbit equivalence relations and Baumslag-Solitar groups. https://doi.org/10.2748/tmj%2F1404911861

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