The following result is proven. Let and be orbit equivalent (OE), essentially free, probability measure preserving actions of countable groups and . Let be any countable group. For , let be the free product. Then the actions of and coinduced from and are OE. As an application, it is shown that if is a free group, then all nontrivial Bernoulli shifts over are OE.
Cite this article
Lewis Bowen, Orbit equivalence, coinduced actions and free products. Groups Geom. Dyn. 5 (2011), no. 1, pp. 1–15DOI 10.4171/GGD/114