On the bounded cohomology for ergodic nonsingular actions of amenable groups

被引：0

作者：

Danilenko, Alexandre, I ^{[1
]}

机构：

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

来源：

ISRAEL JOURNAL OF MATHEMATICS | 2021年 / 243卷 / 01期

关键词：

D O I：

10.1007/s11856-021-2165-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let Gamma be an amenable countable discrete group. Fix an ergodic free non-singular action of Gamma on a nonatomic standard probability space. Let G be a compactly generated locally compact second countable group such that the closure of the group of inner automorphisms of G is compact in the natural topology. It is shown that there exists a bounded ergodic G-valued cocycle of Gamma.

引用

页码：421 / 436

页数：16

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