LIMITS OF HOMOMORPHISMS WITH FINITE-DIMENSIONAL RANGE

DOI10.1142/S0129167X05003089zbMath1091.46031OpenAlexW2071995540MaRDI QIDQ5693413

Huaxin Lin, Yifeng Xue, Shan Wen Hu

Publication date: 26 September 2005

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

Full work available at URL: https://doi.org/10.1142/s0129167x05003089

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) General theory of (C^*)-algebras (46L05) Classifications of (C^*)-algebras (46L35)

Related Items (5)

Approximated by finite-dimensional homomorphisms into simple $C^*$-algebras with tracial rank one ⋮ Purely infinite corona algebras and extensions ⋮ On classification of non-unital amenable simple C*-algebras. II ⋮ Approximate homotopy of homomorphisms from 𝐶(𝑋) into a simple 𝐶*-algebra ⋮ Distance between unitary orbits of normal elements in simple \(C^\ast\)-algebras of real rank zero

Cites Work

• Abelian \(C^*\)-subalgebras of \(C^*\)-algebras of real rank zero and inductive limit \(C^*\)-algebras
• \(C^*\)-algebras of real rank zero
• AF embeddings of \(C(\mathbb{T}^ 2)\) with a prescribed \(K\)-theory
• Extensions of \(C^*\)-algebras and \(K\)-homology
• \(C^*\)-algebras with weak (FN)
• Classification of simple \(C^*\)-algebras of tracial topological rank zero
• Approximately unitarily equivalent morphisms and inductive limit \(C^*\)- algebras
• A universal multicoefficient theorem for the Kasparov groups
• Classification of Simple Tracially AF C^*-Algebras
• The Tracial Topological Rank of C*-Algebras
• When almost multiplicative morphisms are close to homomorphisms
• Homomorphisms From C(X) Into C*-Algebras
• Simple 𝐴𝐻-algebras of real rank zero
• Homomorphisms from $C^*$-algebras of continuous trace
• Tracially AF 𝐶*-algebras

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