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arXiv · 1405.7339

(M + 1)-step shift spaces that are not conjugate to M-step shift spaces

Daniel Gonçalves·Danilo Royer
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Abstract

Recently Ott, Tomforde and Willis proposed a new approach for one sided shift spaces over infinite alphabets. In this new approach the conjugacy classes of shifts of finite type, edge shifts, and M-step shifts are distinct and the authors conjecture that for each non-negative integer M there exist an (M+1)-step shift space that is not conjugate to any M-step shift. In this short paper we build a class of (M+1)-step shifts that are not conjugate to any M-step shift and hence show that their conjecture is correct.

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Daniel Gonçalves, Danilo Royer. 2014-05-28. (M + 1)-step shift spaces that are not conjugate to M-step shift spaces. https://arxiv.org/abs/1405.7339

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