Inductive limit of direct sums of simple TAI algebras

DOI10.1142/S1793525320500223zbMath1483.46062OpenAlexW2953450844MaRDI QIDQ5163066

Liangqing Li, Bo Cui, Chun Lan Jiang

Publication date: 8 November 2021

Published in: Journal of Topology and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793525320500223

zbMATH Keywords

ideal property\(\mathrm{C}^{\ast}\)-algebrasATAI algebrasTAI algebras

Mathematics Subject Classification ID

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

Related Items (1)

A classification of inductive limit C∗$C^{*}$‐algebras with ideal property

Cites Work

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• On the classification of \(C^*\)-algebras of real rank zero. II
• On the classification of simple inductive limit \(C^{*}\)-algebras. II: The isomorphism theorem
• The classification of certain non-simple \(C^*\)-algebras of tracial rank zero
• A classification result for approximately homogeneous \(C^*\)-algebras of real rank zero
• On local finite dimensional approximation of \(C^*\)-algebras
• On the classification of simple inductive limit \(C^*\)-algebras. I: The reduction theorem
• Limits of circle algebras
• Hausdorffified algebraic \(K_1\)-groups and invariants for \(C^\ast\)-algebras with the ideal property
• Simple nuclear \(C^{*}\)-algebras of tracial topological rank one
• A CLASSIFICATION OF NON-SIMPLE C*-ALGEBRAS OF TRACIAL RANK ONE: INDUCTIVE LIMITS OF FINITE DIRECT SUMS OF SIMPLE TAI C*-ALGEBRAS
• Tracially AF 𝐶*-algebras
• ALMOST MULTIPLICATIVE MORPHISMS AND K-THEORY
• A Reduction Theorem forAHAlgebras with the Ideal Property
• A Complete Classification of AI Algebras with the Ideal Property

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