GENERAL CUNTZ–KRIEGER UNIQUENESS THEOREM

DOI10.1142/S0129167X0200137XzbMath1057.46044OpenAlexW2072516083MaRDI QIDQ4807411

Wojciech Szymański

Publication date: 18 May 2003

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129167x0200137x

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05)

Related Items (21)

The complete classification of unital graph \(C^{\ast}\)-algebras: geometric and strong ⋮ Cartan subalgebras in \(C^\ast\)-algebras of Hausdorff étale groupoids ⋮ Partial actions and KMS states on relative graph \(C^\ast\)-algebras ⋮ BRANCHING SYSTEMS FOR HIGHER-RANK GRAPH C*-ALGEBRAS ⋮ The commutative core of a Leavitt path algebra ⋮ Invariance of the Cuntz splice ⋮ Corners of Cuntz-Krieger algebras ⋮ FREDHOLM MODULES OVER GRAPH -ALGEBRAS ⋮ On the classification and description of quantum lens spaces as graph algebras ⋮ Shift equivalences through the lens of Cuntz-Krieger algebras ⋮ Convex subshifts, separated Bratteli diagrams, and ideal structure of tame separated graph algebras ⋮ A generalized Cuntz-Krieger uniqueness theorem for higher-rank graphs ⋮ Applications of the Wold decomposition to the study of row contractions associated with directed graphs ⋮ Socle theory for Leavitt path algebras of arbitrary graphs. ⋮ A dynamical characterization of diagonal-preserving -isomorphisms of graph -algebras ⋮ Ideals in graph algebras ⋮ Branching systems and general Cuntz–Krieger uniqueness theorem for ultragraph C^*-algebras ⋮ Non‐surjective pullbacks of graph C ^* ‐algebras from non‐injective pushouts of graphs ⋮ Pseudo-diagonals and uniqueness theorems ⋮ Strong classification of purely infinite Cuntz-Krieger algebras ⋮ Leavitt \(R\)-algebras over countable graphs embed into \(L_{2,R}\).

Cites Work

• Graphs, groupoids, and Cuntz-Krieger algebras
• Cuntz-Krieger algebras of directed graphs
• A class of C*-algebras and topological Markov chains
• A class of C*-algebras and topological Markov chains II: Reducible chains and the Ext-functor for C*-algebras
• Simple \(C^*\)-algebras generated by isometries
• The ideal structure of Cuntz–Krieger algebras
• Viewing AF-algebras as graph algebras
• The 𝐶*-algebras of infinite graphs
• The 𝐶*-algebra generated by an isometry

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