On finiteness properties of Noetherian (Artinian) C*-algebras

DOI10.1080/03081087.2020.1733458zbMath1494.46052OpenAlexW3009754291MaRDI QIDQ5862362

Mohammad Rouzbehani, Massoud Amini, Mahmood Pourgholamhossein

Publication date: 9 March 2022

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2020.1733458

zbMATH Keywords

\(C^*\)-algebra\(K\)-theoryArtinian algebrapurely infiniteNoetherian algebrastably finite

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) General theory of (C^*)-algebras (46L05) Classifications of (C^*)-algebras (46L35) Noetherian rings and modules (associative rings and algebras) (16P40)

Related Items (2)

Krull dimension for \(\mathrm{C}^{\star}\)-algebras ⋮ Goldie dimension for C*-algebras

Cites Work

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• On infinite simple \(C^*\)-algebras
• Approximately central matrix units and the structure of noncommutative tori
• Stable isomorphism of hereditary subalgebras of \(C^*\)-algebras
• A Fredholm operator approach to Morita equivalence
• Tensor products of \(C^*\)-algebras with the ideal property
• A simple \(C^ *\)-algebra with a finite and an infinite projection.
• Noetherian Banach algebras are finite dimensional
• Chain conditions for \(C^\ast\)-algebras coming from Hilbert \(C^\ast\)-modules
• \({\mathcal{C}}_{0}(X)\)-algebras, stability and strongly self-absorbing \({\mathcal{C}}^{*}\)-algebras
• Purely infinite \(C^*\)-algebras: ideal-preserving zero homotopies
• Operator algebras. Theory of \(C^*\)-algebras and von Neumann algebras
• Purely infinite corona algebras of simple C\(^*\)-algebras
• K-Theory for operator algebras. Classification of C$^*$-algebras
• Strongly self-absorbing $C^{*}$-algebras
• The Cuntz semigroup as an invariant for C*-algebras
• A Simple C ∗ -Algebra with no Nontrivial Projections
• Non-simple purely infinite C*-algebras
• Embedding of exact C* -algebras in the Cuntz algebra 𝒪2
• Obstructions to 𝒵-Stability for Unital Simple C^*-Algebras
• Extensions of Inductive Limits of Circle Algebras
• Non-Hausdorff Topology and Domain Theory
• Nontrivially Noetherian $C^*$-algebras
• Strong classification of purely infinite Cuntz-Krieger algebras
• Purely infinite C*-algebras of real rank zero
• Classification of nuclear \(C^*\)-algebras. Entropy in operator algebras

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