Embedding \(C^*\)-algebra extensions into AF algebras

DOI10.1016/0022-1236(88)90104-8zbMath0678.46047OpenAlexW2065925742MaRDI QIDQ1124089

John S. Spielberg

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0022-1236(88)90104-8

zbMATH Keywords

universal coefficient theoremembeddability of a \(C^*\)-algebra into an AF algebraseparable \(C^*\)- algebras with continuous traceseparable nuclear \(C^*\)-algebrasseparable type I \(C^*\)-algebras

Mathematics Subject Classification ID

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

Related Items

When is the Cuntz-Krieger algebra of a higher-rank graph approximately finite-dimensional?, Subalgebras of simple AF-algebras, On stably finiteness for \(C^*\)-algebras of exponential solvable Lie groups, Residually finite dimensional and AF-embeddable $C^*$-algebras, Generalized inductive limits and maximal stably finite quotients of \(C^\ast \)-algebras, MF actions and \(K\)-theoretic dynamics, An approximate universal coefficient theorem, AF‐embeddability for Lie groups with T1 primitive ideal spaces, AF embeddability of crossed products of AF algebras by the integers, The extension problem for graph \(C^\ast\)-algebras

Cites Work

• On the classification of inductive limits of sequences of semisimple finite-dimensional algebras
• On some \(C^ *\)-algebras considered by Glimm
• A Simple C^*-Algebra Generated by Two Finite-Order Unitaries
• C*-Algebra Extensions and K-Homology. (AM-95)
• Champs continus d'espaces hilbertiens et de $C^*$-algèbres
• Inductive Limits of Finite Dimensional C ∗ -Algebras
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