Rigidity of amalgamated free products in measure equivalence

被引：20

作者：

Kida, Yoshikata ^{[1
]}

机构：

[1] Kyoto Univ, Dept Math, Kyoto 6068502, Japan

来源：

JOURNAL OF TOPOLOGY | 2011年 / 4卷 / 03期

关键词：

SUBGROUPS;

D O I：

10.1112/jtopol/jtr012

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A discrete countable group Gamma is said to be ME rigid if any discrete countable group that is ME to Gamma is virtually isomorphic to Gamma. In this paper, we construct ME rigid groups by amalgamating two groups satisfying rigidity in a sense of measure equivalence. A class of amalgamated free products is introduced, and discrete countable groups which are measure equivalent to a group in that class are investigated.

引用

页码：687 / 735

页数：49