Subsystems of finite type and semigroup invariants of subshifts

DOI10.1515/CRELLE.2009.049zbMath1177.37019MaRDI QIDQ3395148

Wolfgang Krieger, Kokoro Inoue, Toshihiro Hamachi

Publication date: 24 August 2009

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

zbMATH Keywords

symbolic dynamicsDyck shiftsirreducible subshift of finite typeproperty A subshifts

Mathematics Subject Classification ID

Symbolic dynamics (37B10)

Related Items (10)

Markov-Dyck shifts, neutral periodic points and topological conjugacy ⋮ Some notes on the classification of shift spaces: shifts of finite type; sofic shifts; and finitely defined shifts ⋮ A notion of synchronization of symbolic dynamics and a class of \(C ^{\ast }\)-algebras ⋮ A certain synchronizing property of subshifts and flow equivalence ⋮ Simple purely infinite \(C^\ast\)-algebras associated with normal subshifts ⋮ Embedding subshifts of finite type into the Fibonacci–Dyck shift ⋮ Direct topological factorization for topological flows ⋮ On subshift presentations ⋮ On the Markov-Dyck shifts of vertex type ⋮ A construction of subshifts and a class of semigroups

Cites Work

• Systèmes codés. (Coded systems)
• A class of C*-algebras and topological Markov chains
• Embedding of shifts of finite type into the Dyck shift
• Morphisms from non-periodic $\mathbb{Z}^2$ subshifts II: constructing homomorphisms to square-filling mixing shifts of finite type
• Positive K-theory for finitary isomorphisms of Markov chains
• On a syntactically defined invariant of symbolic dynamics
• Embedding theorems for locally compact Markov shifts
• On the structure of a sofic shift space
• ON SUBSHIFTS AND SEMIGROUPS

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