Subshift semigroups

Abstract

Given a one-sided subshift X on a finite alphabet, we consider the semigroup SX =LX \0\, where LX 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(SX ), relating it with C*-algebras that have been discussed in the literature in association with subshifts.

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