scientific article; zbMATH DE number 7556734

DOI10.4134/BKMS.b210047zbMath1502.46047MaRDI QIDQ5089689

Gunnar Restorff, Søren Eilers, Efren Ruiz

Publication date: 15 July 2022

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

classificationextensionsgraph algebras

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Classifications of (C^*)-algebras (46L35)

Related Items

A systematic approach for invariants of $C^*$-algebras ⋮ Do Phantom Cuntz-Krieger Algebras Exist? ⋮ Classification of Graph C ∗-Algebras with No More than Four Primitive Ideals

Cites Work

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• The isomorphism problem for semigroup \(C^*\)-algebras of right-angled Artin monoids
• A note on nonunital absorbing extensions
• E-theory for \(C^*\)-algebras over topological spaces
• Continuous fields of \(C^*\)-algebras over finite dimensional spaces
• Ideals in graph algebras
• The extension problem for graph \(C^\ast\)-algebras
• The complete classification of unital graph \(C^{\ast}\)-algebras: geometric and strong
• On graph \(C^*\)-algebras with a linear ideal lattice
• Classification of extensions of classifiable \(C^{*}\)-algebras
• The Künneth theorem and the universal coefficient theorem for Kasparov's generalized K-functor
• \(C^*\)-algebras of real rank zero
• On the classification of inductive limits of sequences of semisimple finite-dimensional algebras
• Stable isomorphism of hereditary subalgebras of \(C^*\)-algebras
• Notes on extensions of \(C^*\)-algebras
• Lifting solutions to perturbing problems in \(C^*\)-algebras
• Classification of extensions of certain \(C^*\)-algebras by their six term exact sequences in \(K\)-theory
• The ideal structure of the \(C^*\)-algebras of infinite graphs
• Classification of certain infinite simple \(C^*\)-algebras
• A classification theorem for nuclear purely infinite simple \(C^*\)-algebras
• A new proof of Kirchberg's \(\mathcal{O}_2\)-stable classification
• Semiprojectivity and properly infinite projections in graph \(C^{\ast}\)-algebras
• UCT-Kirchberg algebras have nuclear dimension one
• One-parameter continuous fields of Kirchberg algebras
• Multipliers of C -algebras
• The \(C^*\)-algebras of arbitrary graphs
• Classifying \(C^\ast\)-algebras with both finite and infinite subquotients
• On the classification of nonsimple graph \(C^{*}\)-algebras
• Classification of Simple Tracially AF C^*-Algebras
• The ranges of 𝐾-theoretic invariants for nonsimple graph algebras
• Classification of tight $C^{*}$-algebras over the one-point compactification of $\mathbb{N}$
• C*-Algebras over Topological Spaces: Filtrated K-Theory
• Nuclear dimension and n-comparison
• Classification of Cuntz-Krieger algebras up to stable isomorphism
• On Rørdam's classification of certain $C^*$-algebras with one non-trivial ideal, II
• C*-Algebras over Topological Spaces: The Bootstrap Class
• Extensions by Simple C^*-Algebras: Quasidiagonal Extensions
• COVERING DIMENSION AND QUASIDIAGONALITY
• A separable Brown-Douglas-Fillmore theorem and weak stability
• THE UNITAL EXT-GROUPS AND CLASSIFICATION OFC*-ALGEBRAS
• Classification of Graph C ∗-Algebras with No More than Four Primitive Ideals
• The Ordered K-theory of a Full Extension