The Karoubi envelope of the mirage of a subshift

DOI10.1080/00927872.2021.1931263zbMath1493.20016arXiv2005.07490OpenAlexW3191059522MaRDI QIDQ5160025

Alfredo Costa, Benjamin Steinberg

Publication date: 28 October 2021

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.07490

zbMATH Keywords

zeta functionsymbolic dynamicssubshiftpseudovarietyKaroubi envelopefree profinite semigroup

Mathematics Subject Classification ID

Varieties and pseudovarieties of semigroups (20M07) Free semigroups, generators and relations, word problems (20M05) Symbolic dynamics (37B10)

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Cites Work

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• Presentations of Schützenberger groups of minimal subshifts.
• A geometric interpretation of the Schützenberger group of a minimal subshift
• Categories as algebra: An essential ingredient in the theory of monoids
• Substitutions in dynamics, arithmetics and combinatorics
• Pseudovarieties defining classes of sofic subshifts closed under taking shift equivalent subshifts.
• The Schützenberger category of a semigroup.
• Infinite-vertex free profinite semigroupoids and symbolic dynamics.
• A topological invariant of flows on 1-dimensional spaces
• Locally testable semigroups
• The linear nature of pseudowords
• Locally testable languages
• Characterizations of locally testable events
• A categorical invariant of flow equivalence of shifts
• Profinite groups associated to sofic shifts are free
• Closed subgroups of free profinite monoids are projective profinite groups
• On a question of McNaughton and Papert
• Algebraic decision procedures for local testability
• THE WREATH PRODUCT PRINCIPLE FOR ORDERED SEMIGROUPS
• An Introduction to Symbolic Dynamics and Coding
• Profinite Semigroups and Symbolic Dynamics
• Representations of relatively free profinite semigroups, irreducibility, and order primitivity
• ON THE TRANSITION SEMIGROUPS OF CENTRALLY LABELED RAUZY GRAPHS
• SUBWORD COMPLEXITY OF PROFINITE WORDS AND SUBGROUPS OF FREE PROFINITE SEMIGROUPS
• CONJUGACY INVARIANTS OF SUBSHIFTS: AN APPROACH FROM PROFINITE SEMIGROUP THEORY
• Endomorphisms and automorphisms of the shift dynamical system
• Free profinite locally idempotent and locally commutative semigroups