Infinite measure preserving transformations with Radon MSJ

被引：1

作者：

Danilenko, Alexandre I. ^{[1
]}

机构：

[1] Natl Acad Sci Ukraine, Inst Low Temp Phys & Engn, 47 Nauky Ave, UA-61164 Kharkov, Ukraine

来源：

ISRAEL JOURNAL OF MATHEMATICS | 2018年 / 228卷 / 01期

关键词：

MINIMAL SELF-JOININGS; NONSINGULAR TRANSFORMATIONS; ERGODIC ACTIONS;

D O I：

10.1007/s11856-018-1746-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce concepts of Radon MSJ and Radon disjointness for infinite Radon measure preserving homeomorphisms of the locally compact Cantor space. We construct an uncountable family of pairwise Radon disjoint infinite Chacon like transformations. Every such transformation is Radon strictly ergodic, totally ergodic, asymmetric (not isomorphic to its inverse), has Radon MSJ and possesses Radon joinings whose ergodic components are not joinings.

引用

页码：21 / 51

页数：31

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