$\mathcal{B}$-自由与其他 Toeplitz 移位的自同构
动力系统
2022-12-15 v2
摘要
我们给出了正则 Toeplitz 子移位自同构群平凡性的充分条件，并从满足这些条件的 -自由子移位类中给出了一大类例子，推广了 [10] 的结果。另一方面，我们提供了一个 -自由 Toeplitz 子移位的例子，其自同构群含有任意大有限阶的元素，回答了 [13] 中的问题 11。
引用
@article{arxiv.2111.10679,
title = {Automorphisms of $\mathcal{B}$-free and other Toeplitz shifts},
author = {Aurelia Dymek and Stanisław Kasjan and Gerhard Keller},
journal= {arXiv preprint arXiv:2111.10679},
year = {2022}
}
备注
39 pages, We worked out how much of the approach to the centralizer for B-free systems carries over to general Toeplitz shifts. We introduced essential holes at level n in the construction of a Toeplitz sequence which allows us to state our previous results for general Toeplitz shifts, see Section 2. In Section 3 we apply these results to B-free Toeplitz shifts