English

Subshift semigroups

Operator Algebras 2019-08-23 v1

Abstract

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

Keywords

Cite

@article{arxiv.1908.08315,
  title  = {Subshift semigroups},
  author = {R. Exel and B. Steinberg},
  journal= {arXiv preprint arXiv:1908.08315},
  year   = {2019}
}