\(C^*\)-algebras associated with presentations of subshifts

zbMath1007.46051MaRDI QIDQ1597790

Kengo Matsumoto

Publication date: 3 June 2002

Published in: Documenta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/122446

zbMATH Keywords

subshiftgroupoid \(C^*\)-algebraCuntz-Krieger algebraBratteli diagram\(\lambda\)-graph systems

Mathematics Subject Classification ID

Classifications of (C^*)-algebras (46L35) Symbolic dynamics (37B10)

Related Items (18)

Topological freeness for \(C^{\ast}\)-correspondences ⋮ -ALGEBRAS ASSOCIATED WITH TWO-SIDED SUBSHIFTS ⋮ On simplicity of the \(C^\ast \)-algebras associated with \(\lambda \)-graph systems ⋮ A notion of synchronization of symbolic dynamics and a class of \(C ^{\ast }\)-algebras ⋮ A certain synchronizing property of subshifts and flow equivalence ⋮ Actions of symbolic dynamical systems on \(C^*\)-algebras. II: Simplicity of \(C^*\)-symbolic crossed products and some examples ⋮ Operator algebras of monomial ideals in noncommuting variables ⋮ Simple purely infinite \(C^\ast\)-algebras associated with normal subshifts ⋮ -algebras of labelled graphs III—-theory computations ⋮ 𝐶*-algebras, groupoids and covers of shift spaces ⋮ \(C^*\)-crossed products and shift spaces ⋮ Reducibility of covers of AFT shifts ⋮ The Kolmogorov Operator and Classical Mechanics ⋮ Operator algebras for higher rank analysis and their application to factorial languages ⋮ Subshifts, \(\lambda\)-graph bisystems and \(C^\ast\)-algebras ⋮ A groupoid approach toC*-algebras associated withλ-graph systems and continuous orbit equivalence of subshifts ⋮ One-sided topological conjugacy of normal subshifts and gauge actions on the associatedC*-algebras ⋮ \(C^\ast\)-algebras associated with Hilbert \(C^\ast\)-quad modules of \(C^\ast\)-textile dynamical systems

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