On dense embeddings of discrete groups into locally compact groups

被引：1

作者：

Maxim S. Boyko

Sergey L. Gefter

Konstantin M. Kulagin

机构：

[1] Institute for Low Temperature Physics and Engineering, 61103, Kharkov

来源：

Qualitative Theory of Dynamical Systems | 2003年 / 4卷 / 1期

关键词：

Dense subgroups; Discrete groups; Locally compact groups;

D O I：

10.1007/BF02972820

中图分类号：

学科分类号：

摘要：

We consider a class of discrete groups which have no ergodic actions by translations on continuous non-compact locally compact groups. We also study dense embeddings of Zn (n > 1) into non-compact locally compact groups. Moreover, we study some discrete groups which admit no embeddings into almost connected locally compact groups. In particular, we prove that a lattice in a simple Lie group with property (T) cannot be embedded densely into a connected non-compact locally compact group.

引用

页码：31 / 37

页数：6

共 18 条

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