Invariants of orbit equivalence relations and Baumslag-Solitar groups
Group Theory
2015-01-05 v3 Dynamical Systems
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.
Keywords
Cite
@article{arxiv.1111.3701,
title = {Invariants of orbit equivalence relations and Baumslag-Solitar groups},
author = {Yoshikata Kida},
journal= {arXiv preprint arXiv:1111.3701},
year = {2015}
}
Comments
49 pages, minor corrections