On infinite simple \(C^*\)-algebras

DOI10.1016/0022-1236(91)90109-IzbMath0774.46029OpenAlexW2003708572MaRDI QIDQ1178624

Shuang Zhang, Huaxin Lin

Publication date: 26 June 1992

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

Full work available at URL: https://doi.org/10.1016/0022-1236(91)90109-i

zbMATH Keywords

purely infinitenontrivial projectionssimple \(C^*\)-algebras with an infinite element

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05)

Related Items

Recasting the Elliott conjecture ⋮ Unitary groups and augmented Cuntz semigroups of separable simple 𝒵-Stable C∗-algebras ⋮ Nonamenable simple -algebras with tracial approximation ⋮ Almost commuting unitary elements in purely infinite simple \(C^*\)- algebras ⋮ Tracial approximation in simple -algebras ⋮ The proof of inseparable prime \(AW^*\)-algebras being primitive \(C^*\)-algebras ⋮ Positive combinations of projections in von Neumann algebras and purely infinite simple \(C^*\)-algebras ⋮ The classification of simple separable KK-contractible C*-algebras with finite nuclear dimension ⋮ Ideal Structure of Multiplier Algebras of Simple C^*-algebras With Real Rank Zero ⋮ Projection decomposition in multiplier algebras ⋮ Abelian \(C^*\)-subalgebras of \(C^*\)-algebras of real rank zero and inductive limit \(C^*\)-algebras ⋮ Positive combinations and sums of projections in purely infinite simple 𝐶*-algebras and their multiplier algebras ⋮ The general stable rank in nonstable \(K\)-theory ⋮ Structure of Nonunital Purely Infinite Simple Rings ⋮ Almost commuting unitaries and classification of purely infinite simple \(C^*\)-algebras ⋮ Pure infiniteness of spectral algebras ⋮ On finiteness properties of Noetherian (Artinian) C*-algebras

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