A categorical invariant of flow equivalence of shifts

DOI10.1017/etds.2014.74zbMath1355.37021arXiv1304.3487OpenAlexW2095964025MaRDI QIDQ2808038

Benjamin Steinberg, Alfredo Costa

Publication date: 26 May 2016

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.3487

zbMATH Keywords

flow invariantKaroubi envelope of a shift

Mathematics Subject Classification ID

Related Items (11)

Topological graph inverse semigroups ⋮ Markov-Dyck shifts, neutral periodic points and topological conjugacy ⋮ The structure of a graph inverse semigroup ⋮ Flow equivalence of sofic shifts ⋮ The Schützenberger category of a semigroup. ⋮ On subshift presentations ⋮ On graph inverse semigroups ⋮ On a class of inverse semigroups related to Leavitt path algebras ⋮ The Karoubi envelope of the mirage of a subshift ⋮ On the Markov-Dyck shifts of vertex type ⋮ A construction of subshifts and a class of semigroups

Uses Software

• GAP
• SgpViz
• automata

Cites Work

• A certain synchronizing property of subshifts and flow equivalence
• Graph inverse semigroups: their characterization and completion.
• Characterizations of Morita equivalent inverse semigroups.
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• A hierarchy of shift equivalent sofic shifts
• Profinite groups associated to sofic shifts are free
• Quivers of monoids with basic algebras
• Flow equivalence of subshifts of finite type
• Topological conjugacy for sofic systems
• An algorithm for sofic shift equivalence
• On the uniqueness of the equilibrium state
• On a syntactically defined invariant of symbolic dynamics
• An Introduction to Symbolic Dynamics and Coding
• THE SYNTACTIC GRAPH OF A SOFIC SHIFT IS INVARIANT UNDER SHIFT EQUIVALENCE
• ON SUBSHIFTS AND SEMIGROUPS
• CONJUGACY INVARIANTS OF SUBSHIFTS: AN APPROACH FROM PROFINITE SEMIGROUP THEORY

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