The classification of two-component Cuntz-Krieger algebras

DOI10.1090/S0002-9939-96-03079-1zbMath0846.46040OpenAlexW1483670504MaRDI QIDQ4874362

Danrun Huang

Publication date: 21 April 1996

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-96-03079-1

zbMATH Keywords

classification of two-component reducible topological Markov chains up to flow equivalenceCuntz invariantCuntz-Krieger algebras with exactly one nontrivial closed ideal are classified up to stable isomorphismRørdam's classification of simple Cuntz-Krieger algebras

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Classifications of (C^*)-algebras (46L35)

Related Items (8)

The complete classification of unital graph \(C^{\ast}\)-algebras: geometric and strong ⋮ Moves on k-graphs preserving Morita equivalence ⋮ Invariance of the Cuntz splice ⋮ A cyclic six-term exact sequence for block matrices over a PID ⋮ Poset block equivalence of integral matrices ⋮ The ranges of 𝐾-theoretic invariants for nonsimple graph algebras ⋮ Classification of Cuntz-Krieger algebras up to stable isomorphism ⋮ Strong classification of purely infinite Cuntz-Krieger algebras

Cites Work

• A class of C*-algebras and topological Markov chains II: Reducible chains and the Ext-functor for C*-algebras
• A topological invariant of flows on 1-dimensional spaces
• Homology for zero-dimensional nonwandering sets
• Classification of Cuntz-Krieger algebras
• Flow equivalence of subshifts of finite type
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