Automorphisms of $\mathcal{B}$-free and other Toeplitz shifts
Dynamical Systems
2022-12-15 v2
Abstract
We present sufficient conditions for the triviality of the automorphism group of regular Toeplitz subshifts and give a broad class of examples from the class of -free subshifts satisfying them, extending [10]. On the other hand we provide an example of a -free Toeplitz subshift whose automorphism group has elements of arbitrarily large finite order, answering Question 11 in [13].
Cite
@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}
}
Comments
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