caa a22 4500 469068493 CHVBK 20180323132915.0 cr unu---uuuuu 170328e19921001xx s 000 0 eng 10.1007/BF02808217 doi (NATIONALLICENCE)springer-10.1007/BF02808217 Ward T. Department of Mathematics, The Ohio State University, 43210, Columbus, OH, U.S.A. aut The bernoulli property for expansive ℤ2 actions on compact groups [Elektronische Daten] [T. Ward] We show that an expansive ℤ2 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 Kitchens and Schmidt and an algebraic characterisation of theK property due to Lind, Schmidt and the author. As a corollary, we note that an expansive ℤ2 action on a compact abelian group is measurably isomorphic to a Bernoulli shift relative to the Pinsker algebra. A further corollary applies an argument of Lind to show that an expansiveK action of ℤ2 on a compact abelian group is exponentially recurrent. Finally an example is given of measurable isomorphism without topological conjugacy for ℤ2 actions. Hebrew University, 1992 Israel Journal of Mathematics Springer-Verlag 79/2-3(1992-10-01), 225-249 0021-2172 79:2-3<225 1992 79 11856 https://doi.org/10.1007/BF02808217 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02808217 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Ward T. Department of Mathematics, The Ohio State University, 43210, Columbus, OH, U.S.A aut NATIONALLICENCE 773 0- Israel Journal of Mathematics Springer-Verlag 79/2-3(1992-10-01), 225-249 0021-2172 79:2-3<225 1992 79 11856 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer