Geodesic
Orbit equivalence, coinduced actions and free products
Lewis Bowen1
1The University of Texas at Austin, USA
Groups, geometry, and dynamics, Tome 5 (2011) no. 1, pp. 1-15

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DOI

The following result is proven. Let G1​↷T1​(X1​,μ1​) and G2​↷T2​(X2​,μ2​) be orbit equivalent (OE), essentially free, probability measure preserving actions of countable groups G1​ and G2​. Let H be any countable group. For i=1,2, let Γi​=Gi​∗H be the free product. Then the actions of Γ1​ and Γ2​ coinduced from T1​ and T2​ are OE. As an application, it is shown that if Γ is a free group, then all nontrivial Bernoulli shifts over Γ are OE.
DOI : 10.4171/ggd/114
Classification : 37-XX, 00-XX
Mots-clés : Coinduced, orbit equivalence, Bernoulli shifts

Lewis Bowen  1

1 The University of Texas at Austin, USA 
Lewis Bowen. Orbit equivalence, coinduced actions and free products. Groups, geometry, and dynamics, Tome 5 (2011) no. 1, pp. 1-15. doi: 10.4171/ggd/114
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