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arXiv · 1902.07886

Weak density of orbit equivalence classes and free products of infinite abelian groups

Takaaki Moriyama
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Abstract

We show that if a countable group $G$ is the free product of infinite abelian groups, then for every free, probability-measure-preserving (p.m.p.) action of $G$, its orbit equivalence class is weakly dense in the space of p.m.p. actions of $G$. This extends Lewis Bowen's result for free groups.

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Takaaki Moriyama. 2019-02-21. Weak density of orbit equivalence classes and free products of infinite abelian groups. https://arxiv.org/abs/1902.07886

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