里程计和Toeplitz子位移的稳定自同构群

IF 0.8 3区数学 Q2 MATHEMATICS

Ergodic Theory and Dynamical Systems Pub Date : 2023-11-13 DOI:10.1017/etds.2023.109

JENNIFER N. JONES-BARO

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引用次数: 1

摘要

摘要本文刻画了里程计和Toeplitz子位移的稳定自同构群，并证明了这些动力系统稳定自同构群的一个不变性。即证明周期结构的p进值趋于无穷的素数的同构不变性。我们感兴趣的一个特殊情况是，对于无扭里程表，稳定自同构群是一个完全同构不变量。

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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Stabilized automorphism group of odometers and of Toeplitz subshifts

Abstract We characterize the stabilized automorphism group for odometers and Toeplitz subshifts, and then prove an invariance property of the stabilized automorphism group of these dynamical systems. Namely, we prove the isomorphism invariance of the primes for which the p -adic valuation of the period structure tends to infinity. A particular case of interest is that for torsion-free odometers, the stabilized automorphism group is a full isomorphism invariant.

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来源期刊

Ergodic Theory and Dynamical Systems 数学-数学

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.