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

Abstract

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