CLASSIFICATION OF EXTENSIONS OF A𝕋-ALGEBRAS

DOI10.1142/S0129167X11007227zbMath1232.46059MaRDI QIDQ3093018

ChangGuo Wei

Publication date: 12 October 2011

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

zbMATH Keywords

classificationextension\(A\mathbb T\)-algebra

Mathematics Subject Classification ID

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

Related Items (4)

Topologizing UCTs for unital extensions ⋮ Classification of extensions of torus algebra. II ⋮ Pseudometrics on Ext-semigroups ⋮ Unital extensions of AF-algebras by purely infinite simple algebras

Cites Work

• On the classification of \(C^*\)-algebras of real rank zero. II
• Lifting \(KK\)-elements, asymptotic unitary equivalence and classification of simple C\(^*\)-algebras
• Full extensions and approximate unitary equivalence
• Homomorphisms between \(C^*\)-algebra extensions
• Classification of extensions of classifiable \(C^{*}\)-algebras
• The Künneth theorem and the universal coefficient theorem for Kasparov's generalized K-functor
• Stable isomorphism of hereditary subalgebras of \(C^*\)-algebras
• Extensions of certain real rank zero \(C^*\)-algebras
• Classification of direct limits of generalized Toeplitz algebras
• Classification of simple \(C^{\ast}\)-algebras and higher dimensional noncommutative tori
• Classification of simple \(C^*\)-algebras of tracial topological rank zero
• The fine structure on the Kasparov groups. II: Topologizing the UCT
• Simple nuclear \(C^{*}\)-algebras of tracial topological rank one
• The Tracial Topological Rank of C*-Algebras
• Homomorphisms into simple limits of circle algebras
• Extensions by Simple C^*-Algebras: Quasidiagonal Extensions
• Extensions of Inductive Limits of Circle Algebras
• Extensions of C *-Algebras and Quasidiagonality

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