Weak density of orbit equivalence classes and free products of infinite abelian groups
Dynamical Systems
2019-11-27 v2
Abstract
We show that if a countable group is the free product of infinite abelian groups, then for every free, probability-measure-preserving (p.m.p.) action of , its orbit equivalence class is weakly dense in the space of p.m.p. actions of . This extends Lewis Bowen's result for free groups.
Keywords
Cite
@article{arxiv.1902.07886,
title = {Weak density of orbit equivalence classes and free products of infinite abelian groups},
author = {Takaaki Moriyama},
journal= {arXiv preprint arXiv:1902.07886},
year = {2019}
}
Comments
10 pages; to appear in Proceedings of the AMS