Stable orbit equivalence of Bernoulli shifts over free groups

Lewis Bowen

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arXiv · 0907.4625

Stable orbit equivalence of Bernoulli shifts over free groups

Lewis Bowen

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Abstract

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.

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Lewis Bowen. 2009-09-11. Stable orbit equivalence of Bernoulli shifts over free groups. https://arxiv.org/abs/0907.4625

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