Orbit equivalence, coinduced actions and free products

  • Lewis Bowen

    The University of Texas at Austin, USA

Abstract

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. 1–15

DOI 10.4171/GGD/114