Stable orbit equivalence of Bernoulli shifts over free groups

@inproceedings{Bowen2009StableOE,
  title={Stable orbit equivalence of Bernoulli shifts over free groups},
  author={Lewis Bowen},
  year={2009}
}
Previous work showed that every pair of nontrivial Bernoulli shifts over a fixed free group are orbit equivalent. In this paper, we prove that if G 1 , G 2 are nonabelian free groups of finite rank then every nontrivial Bernoulli shift over G 1 is stably orbit equivalent to every nontrivial Bernoulli shift over G 2. This answers a question of S. Popa.