K-property for Maharam extensions of non-singular Bernoulli and Markov shifts

被引：11

作者：

Danilenko, Alexandre I. ^{[1
]}

Lemanczyk, Mariusz ^{[2
]}

机构：

[1] Natl Acad Sci Ukraine, Inst Low Temp Phys & Engn, 47 Nauky Ave, UA-61103 Kharkiv, Ukraine

[2] Nicolaus Copernicus Univ, Fac Math & Comp Sci, Ul Chopina 12-18, PL-87100 Torun, Poland

来源：

ERGODIC THEORY AND DYNAMICAL SYSTEMS | 2019年 / 39卷 / 12期

关键词：

PRODUCT;

D O I：

10.1017/etds.2018.14

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is shown that each conservative non-singular Bernoulli shift is either of type II1 or III1. Moreover, in the latter case the corresponding Maharam extension of the shift is a K-automorphism. This extends earlier results obtained by Kosloff for equilibrial shifts. Non-equilibrial shifts of type III1 are constructed. We further generalize (partly) the main results to non-singular Markov shifts.

引用

页码：3292 / 3321

页数：30

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