离散可配位群作用于遍历变换全群的归一化子

IF 0.8 3区 数学 Q2 MATHEMATICS Ergodic Theory and Dynamical Systems Pub Date : 2024-02-05 DOI:10.1017/etds.2023.122
TOSHIHIKO MASUDA
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引用次数: 0

摘要

我们将埃文斯-岸本交织论证应用于将离散可配位群的作用分类为遍历变换全群的归一化。我们的证明不依赖于遍历变换的类型。
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Actions of discrete amenable groups into the normalizers of full groups of ergodic transformations

We apply the Evans–Kishimoto intertwining argument to the classification of actions of discrete amenable groups into the normalizer of a full group of an ergodic transformation. Our proof does not depend on the types of ergodic transformations.

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来源期刊
CiteScore
1.70
自引率
11.10%
发文量
113
审稿时长
6-12 weeks
期刊介绍: Ergodic Theory and Dynamical Systems focuses on a rich variety of research areas which, although diverse, employ as common themes global dynamical methods. The journal provides a focus for this important and flourishing area of mathematics and brings together many major contributions in the field. The journal acts as a forum for central problems of dynamical systems and of interactions of dynamical systems with areas such as differential geometry, number theory, operator algebras, celestial and statistical mechanics, and biology.
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