Relative ergodic properties of C*-dynamical systems

被引：3
|
作者：
Duvenhage, Rocco [1 ]
Mukhamedov, Farrukh [2 ]
机构：
[1] Univ Pretoria, Dept Phys, ZA-0002 Pretoria, South Africa
[2] Int Islamic Univ Malaysia, Fac Sci, Dept Computat & Theoret Sci, Kuantan 25710, Pahang, Malaysia
来源：
INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS | 2014年 / 17卷 / 01期
基金：
新加坡国家研究基金会;
关键词：
Unique ergodicity; unique weak mixing; C*-dynamical systems; semigroup actions; weighted means; higher order mixing; joinings; NONCOMMUTATIVE TOPOLOGICAL DYNAMICS; MULTITIME CORRELATIONS; MULTIPLE RECURRENCE; UNIQUE ERGODICITY; MIXING PROPERTIES; DIAGONAL MEASURES; TENSOR-PRODUCTS; WEIGHTED MEANS; FREE SHIFTS; ALGEBRAS;
D O I：
10.1142/S0219025714500052
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study variousergodic properties of C*-dynamical systems inspired by unique ergodicity. In particular we work in a framework allowing for ergodic properties defined relative to various subspaces, and in terms of weighted means. Our main results are characterizations of such relative ergodic properties, ergodic theorems resulting from these properties, and examples exhibiting these properties.
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页数：26
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