Geodesic
Stable orbit equivalence of Bernoulli shifts over free groups
Lewis Bowen1
1The University of Texas at Austin, USA
Groups, geometry, and dynamics, Tome 5 (2011) no. 1, pp. 17-38

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DOI

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 G1​, G2​ are nonabelian free groups of finite rank then every nontrivial Bernoulli shift over G1​ is stably orbit equivalent to every nontrivial Bernoulli shift over G2​. This answers a question of S. Popa.
DOI : 10.4171/ggd/115
Classification : 20-XX, 00-XX
Mots-clés : Stable orbit equivalence, Bernoulli shifts, free groups

Lewis Bowen  1

1 The University of Texas at Austin, USA 
Lewis Bowen. Stable orbit equivalence of Bernoulli shifts over free groups. Groups, geometry, and dynamics, Tome 5 (2011) no. 1, pp. 17-38. doi: 10.4171/ggd/115
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     title = {Stable orbit equivalence of {Bernoulli} shifts over free groups},
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     year = {2011},
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     number = {1},
     doi = {10.4171/ggd/115},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/115/}
}
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