Orbit equivalence, coinduced actions and free products
Lewis Bowen
The University of Texas at Austin, USA
![Orbit equivalence, coinduced actions and free products cover](/_next/image?url=https%3A%2F%2Fcontent.preview.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-ggd-volume-5-issue-1.png&w=3840&q=90)
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