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arXiv · 2111.10679

Automorphisms of $\mathcal{B}$-free and other Toeplitz shifts

Aurelia Dymek·Stanisław Kasjan·Gerhard Keller
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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 $\mathcal{B}$-free subshifts satisfying them, extending [10]. On the other hand we provide an example of a $\mathcal{B}$-free Toeplitz subshift whose automorphism group has elements of arbitrarily large finite order, answering Question 11 in [13].

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Aurelia Dymek, Stanisław Kasjan, Gerhard Keller. 2021-11-20. Automorphisms of $\mathcal{B}$-free and other Toeplitz shifts. https://arxiv.org/abs/2111.10679

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