Poset block equivalence of integral matrices

DOI10.1090/S0002-9947-03-02947-7zbMath1028.15006OpenAlexW1638754919MaRDI QIDQ4417293

Danrun Huang, Mike Boyle

Publication date: 28 July 2003

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-03-02947-7

zbMATH Keywords

posetrepresentationsimilaritysymbolic dynamics\(C^*\)-algebrasprincipal ideal domaininteger matrixflow equivalencecokernelblock equivalence

Mathematics Subject Classification ID

Representations of quivers and partially ordered sets (16G20) Classifications of (C^*)-algebras (46L35) Symbolic dynamics (37B10) Algebraic aspects of posets (06A11) Matrices of integers (15B36) Ordered rings, algebras, modules (06F25) Canonical forms, reductions, classification (15A21)

Related Items (19)

The complete classification of unital graph \(C^{\ast}\)-algebras: geometric and strong ⋮ Generalized Bowen-Franks groups of integral matrices with the same zeta function ⋮ Flow equivalence of sofic shifts ⋮ Moves on k-graphs preserving Morita equivalence ⋮ Geometric classification of isomorphism of unital graph \(C^\ast\)-algebras ⋮ Decidability of flow equivalence and isomorphism problems for graph C*-algebras and quiver representations ⋮ The mapping class group of a shift of finite type ⋮ Flow equivalence of sofic beta-shifts ⋮ Flow–orbit equivalence for minimal Cantor systems ⋮ A cyclic six-term exact sequence for block matrices over a PID ⋮ The K-theoretical range of Cuntz-Krieger algebras ⋮ Reducibility of covers of AFT shifts ⋮ Block conjugacy of irreducible toral automorphisms ⋮ Classification of real rank zero, purely infinite \(C^{\ast}\)-algebras with at most four primitive ideals ⋮ Flow equivalence of G-SFTs ⋮ Geometric classification of simple graph algebras ⋮ Classification of Cuntz-Krieger algebras up to stable isomorphism ⋮ Reduction of filtered K-theory and a characterization of Cuntz-Krieger algebras ⋮ Strong classification of purely infinite Cuntz-Krieger algebras

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