Classification of \(C^*\)-algebras of real rank zero and unsuspended \(E\)-equivalence types

DOI10.1006/jfan.1997.3165zbMath0921.46058OpenAlexW2001091064MaRDI QIDQ1381528

Guihua Gong

Publication date: 17 September 1999

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.1997.3165

zbMATH Keywords

nuclearclassification of amenable \(C^*\)-algebrasgraded scaled ordered \(K\)-groupinductive limit \(C^*\)-algebras

Mathematics Subject Classification ID

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

Related Items (14)

Classification of simple \(C^*\)-algebras: Inductive limits of matrix algebras over one-dimensional spaces ⋮ Topologically conjugate classifications of the translation actions on low-dimensional compact connected Lie groups ⋮ The classification of certain ASH C*-algebras of real rank zero ⋮ On the classification of simple inductive limit \(C^{*}\)-algebras. II: The isomorphism theorem ⋮ A classification of inductive limit C∗$C^{*}$‐algebras with ideal property ⋮ A total Cuntz semigroup for \(C^*\)-algebras of stable rank one ⋮ On invariants of \(\mathrm C^{\ast}\)-algebras with the ideal property ⋮ On the decomposition theorems for \(C^*\)-algebras ⋮ The \(KK\)-lifting problem for dimension drop interval algebras ⋮ \(A\mathbb T\) structure of \(AH\) algebras with the ideal property and torsion free \(K\)-theory ⋮ Hausdorffified algebraic \(K_1\)-groups and invariants for \(C^\ast\)-algebras with the ideal property ⋮ A CLASSIFICATION OF NON-SIMPLE C*-ALGEBRAS OF TRACIAL RANK ONE: INDUCTIVE LIMITS OF FINITE DIRECT SUMS OF SIMPLE TAI C*-ALGEBRAS ⋮ The classification of certain non-simple \(C^*\)-algebras of tracial rank zero ⋮ \(C^*\) exponential length of commutators unitaries in AH-algebras

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