MINIMAL GROUP ACTIONS ON DENDRITES

被引：12
|
作者：
Shi, Enhui [1 ]
Wang, Suhua [1 ]
Zhou, Lizhen [1 ]
机构：
[1] Soochow Univ, Dept Math, Suzhou 215006, Peoples R China
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2010年 / 138卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Dendrite; minimal group action; amenable group; invariant measure; weak mixing; CONTINUA;
D O I：
10.1090/S0002-9939-09-10000-X
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Minimal group actions on dendrites appear naturally in the study of 3-dimensional hyperbolic geometry. In this paper, it is shown that if a group G acts on a nondegenerate dendrite X minimally, then X admits no C-invariant measure. In particular, G cannot be amenable.
引用
收藏
页码：217 / 223
页数：7
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