Stable orbit equivalence of Bernoulli shifts over free groups
Lewis Bowen
The University of Texas at Austin, USA
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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 , are nonabelian free groups of finite rank then every nontrivial Bernoulli shift over is stably orbit equivalent to every nontrivial Bernoulli shift over . This answers a question of S. Popa.
Cite this article
Lewis Bowen, Stable orbit equivalence of Bernoulli shifts over free groups. Groups Geom. Dyn. 5 (2011), no. 1, pp. 17–38
DOI 10.4171/GGD/115