The Bernoulli property for expansive Z^2 actions on compact groups
(1992)
Journal Article
Ward, T. (1992). The Bernoulli property for expansive Z^2 actions on compact groups. Israel Journal of Mathematics, 79(2-3), 225-249. https://doi.org/10.1007/bf02808217
We show that an expansive Z^2 action on a compact abelian group is measurably isomorphic to a two-dimensional Bernoulli shift if and only if it has completely positive entropy. The proof uses the algebraic structure of such actions described by Kitch... Read More about The Bernoulli property for expansive Z^2 actions on compact groups.