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arXiv · 2211.02148

Algebras of one-sided subshifts over arbitrary alphabets

Giuliano Boava·Gilles G. de Castro·Daniel Gonçalves·Daniel W. van Wyk
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Abstract

We introduce two algebras associated with a subshift over an arbitrary alphabet. One is unital and the other not necessarily. We focus on the unital case and describe a conjugacy between Ott-Tomforde-Willis subshifts in terms of a homeomorphism between the Stone duals of suitable Boolean algebras, and in terms of a diagonal-preserving isomorphism of the associated unital algebras. For this, we realise the unital algebra associated with a subshift as a groupoid algebra and as a partial skew group ring.

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BibTeXRIS

Giuliano Boava, Gilles G. de Castro, Daniel Gonçalves, Daniel W. van Wyk. 2022-11-03. Algebras of one-sided subshifts over arbitrary alphabets. https://arxiv.org/abs/2211.02148

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