Complete positivity of entropy and non-Bernoullicity for transformation groups
Volume 84 / 2000
Colloquium Mathematicum 84 (2000), 421-429
DOI: 10.4064/cm-84/85-2-421-429
Abstract
The existence of non-Bernoullian actions with completely positive entropy is proved for a class of countable amenable groups which includes, in particular, a class of Abelian groups and groups with non-trivial finite subgroups. For this purpose, we apply a reverse version of the Rudolph-Weiss theorem.
