Every countably infinite group is almost Ornstein

Details Every countably infinite group is almost Ornstein Every countably infinite group is almost Ornstein

2011-03-23

arxiv.org/abs/1103.4424v3

Mathematics

Dynamical Systems

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Scientific paper

We say that a countable discrete group $G$ is {\em almost Ornstein} if for
every pair of standard non-two-atom probability spaces $(K,\kappa),
(L,\lambda)$ with the same Shannon entropy, the Bernoulli shifts $G \cc
(K^G,\kappa^G)$ and $G \cc (L^G,\lambda^G)$ are isomorphic.

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