One-sided topological conjugacy of topological Markov shifts, continuous full groups and Cuntz–Krieger algebras

IF 0.5 4区数学 Q4 MATHEMATICS, APPLIED

Dynamical Systems-An International Journal Pub Date : 2020-12-29 DOI:10.1080/14689367.2023.2218601

Kengo Matsumoto

引用次数: 1

Abstract

ABSTRACT We will characterize topologically conjugate one-sided topological Markov shifts in terms of their subgroups of continuous full groups and subalgebras of Cuntz–Krieger algebras.

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拓扑马尔可夫移位的单侧拓扑共轭，连续满群与Cuntz-Krieger代数

摘要我们将用连续全群的子群和Cuntz-Krieger代数的子代数来刻画拓扑共轭单侧拓扑Markov移位。

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

Dynamical Systems-An International Journal 物理-力学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Dynamical Systems: An International Journal is a world-leading journal acting as a forum for communication across all branches of modern dynamical systems, and especially as a platform to facilitate interaction between theory and applications. This journal publishes high quality research articles in the theory and applications of dynamical systems, especially (but not exclusively) nonlinear systems. Advances in the following topics are addressed by the journal: •Differential equations •Bifurcation theory •Hamiltonian and Lagrangian dynamics •Hyperbolic dynamics •Ergodic theory •Topological and smooth dynamics •Random dynamical systems •Applications in technology, engineering and natural and life sciences