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arXiv · 1908.08315

Subshift semigroups

R. Exel·B. Steinberg
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Abstract

Given a one-sided subshift $X$ on a finite alphabet, we consider the semigroup $S_X =L_X \cup \{0\}$, where $L_X $ is the language of $X $, equipped with the multiplication operation given by concatenation, when allowed, and set to vanish otherwise. We then study the inverse hull $H(S_X )$, relating it with C*-algebras that have been discussed in the literature in association with subshifts.

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R. Exel, B. Steinberg. 2019-08-22. Subshift semigroups. https://arxiv.org/abs/1908.08315

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