Approximate transitivity of the ergodic action of the group of finite permutations of N on {0,1}N

被引：0
|
作者：
Baker, B. Mitchell [1 ]
Giordano, Thierry [2 ]
Munteanu, Radu B. [3 ,4 ]
机构：
[1] US Naval Acad, Math Dept, Chauvenet Hall,572C Holloway Rd, Annapolis, MD 21402 USA
[2] Univ Ottawa, Dept Math & Stat, Ottawa, ON K1N 6N5, Canada
[3] Univ Bucharest, Dept Math, 14 Acad St, Bucharest 010014, Romania
[4] Romanian Acad, Simion Stoilow Inst Math, 21 Calea Grivitei St, Bucharest 010702, Romania
来源：
ERGODIC THEORY AND DYNAMICAL SYSTEMS | 2019年 / 39卷
基金：
加拿大自然科学与工程研究理事会;
关键词：
VON-NEUMANN-ALGEBRAS; AMENABLE ACTIONS; GAUGE INVARIANT; STATES;
D O I：
10.1017/etds.2018.9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we show that the natural action of the symmetric group acting on the product space {0, 1}(N) endowed with a Bernoulli measure is approximately transitive. We also extend the result to a larger class of probability measures.
引用
收藏
页码：2881 / 2895
页数：15
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