Intrinsic Ergodicity, Generators, and Symbolic Representations of Algebraic Group Actions

IF 0.6 4区数学 Q3 MATHEMATICS

Functional Analysis and Its Applications Pub Date : 2024-05-16 DOI:10.1134/s0016266324010052

Hanfeng Li, Klaus Schmidt

引用次数: 0

Abstract

We construct natural symbolic representations of intrinsically ergodic, but not necessarily expansive, principal algebraic actions of countably infinite amenable groups and use these representations to find explicit generating partitions (up to null-sets) for such actions.

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代数群作用的本征遍历性、生成器和符号表示

摘要我们构建了可数无限可配位群的内在遍历性（但不一定是扩张性）主代数作用的自然符号表示，并利用这些表示为这些作用找到了明确的生成分区（直到空集）。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Functional Analysis and Its Applications 数学-数学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Functional Analysis and Its Applications publishes current problems of functional analysis, including representation theory, theory of abstract and functional spaces, theory of operators, spectral theory, theory of operator equations, and the theory of normed rings. The journal also covers the most important applications of functional analysis in mathematics, mechanics, and theoretical physics.