Complete positivity of entropy and non-Bernoullicity for transformation groups

• Autorzy: Valentin Ya. Golodets , Sergey D. Sinel'shchikov
• Języki publikacji: EN

Abstrakty

EN

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.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2000
• Tom: 84/85
• Numer: 2
• Strony: 421-429

Daty

wydano

2000

otrzymano

1999-08-25

poprawiono

2000-02-19

Twórcy

autor

Valentin Ya. Golodets

• Institute for Low Temperature Physics & Engineering Ukrainian National Academy of Sciences 47 Lenin Ave., 61164 Kharkov, Ukraine

autor

Sergey D. Sinel'shchikov

• Institute for Low Temperature Physics & Engineering Ukrainian National Academy of Sciences 47 Lenin Ave., 61164 Kharkov, Ukraine

Bibliografia

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