Spectral rigidity of group actions:: Applications to the case gr⟨t, s; ts = st2⟩

被引：5
作者：
Ageev, ON [1 ]
机构：
[1] Moscow State Tech Univ, Dept Math, Moscow 105005, Russia
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2006年 / 134卷 / 05期
关键词：
group actions; ergodic theory; conjugations to its squares;
D O I：
10.1090/S0002-9939-05-08380-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We apply a technique to study the notion of spectral rigidity of group actions to a group gr < t, s; ts = st(2)>. As an application, we prove that there exist rank one weakly mixing transformations conjugate to its square, thereby giving a positive answer to a well-known question.
引用
收藏
页码：1331 / 1338
页数：8
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