ArticleOriginal scientific text
Title
Complete positivity of entropy and non-Bernoullicity for transformation groups
Authors 1, 1
Affiliations
- Institute for Low Temperature Physics & Engineering Ukrainian National Academy of Sciences 47 Lenin Ave., 61164 Kharkov, Ukraine
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.
Bibliography
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Pages:
421-429
Main language of publication
English
Received
1999-08-25
Accepted
2000-02-19
Published
2000
Exact and natural sciences