Decomposable approximations and approximately finite dimensional C*-algebras
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Publication:5360422
DOI10.1017/S0305004116000372zbMath1442.46046arXiv1409.7304MaRDI QIDQ5360422
Publication date: 28 September 2017
Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1409.7304
\(C^*\)-algebrasnuclear dimensionnuclearitycompletely positive approximation propertydecomposition rank
Spaces of operators; tensor products; approximation properties (46B28) Classifications of (C^*)-algebras (46L35)
Related Items (3)
Nuclear dimension of simple stably projectionless \(C^\ast\)-algebras ⋮ Almost finiteness and the small boundary property ⋮ Decomposable Approximations Revisited
Cites Work
- Decomposable approximations of nuclear \(C^*\)-algebras
- Decomposition rank of UHF-absorbing \(C^\ast\)-algebras
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- Strict comparison and \(\mathcal{Z}\)-absorption of nuclear \(C^*\)-algebras
- Nuclear dimension and \(\mathcal Z\)-stability
- The nuclear dimension of \(C^{*}\)-algebras
- Disjointness preserving operators on \(C^*\)-algebras
- Covering dimension for nuclear \(C^*\)-algebras
- Decomposition rank of \(\mathcal{Z}\)-stable \(C^*\)-algebras
- Operator algebras. Theory of \(C^*\)-algebras and von Neumann algebras
- Nonseparable UHF algebras. I: Dixmier's problem
- Decomposition rank and \(\mathcal{Z}\)-stability
- Nuclear dimension and n-comparison
- Regularity properties in the classification program for separable amenable C*-algebras
- Completely positive maps of order zero
- C*-Nuclearity implies CPAP
- Nuclear C ∗ -Algebras and the Approximation Property
- COVERING DIMENSION AND QUASIDIAGONALITY
- Double Centralizers and Extensions of C ∗ -Algebras
- Inductive Limits of Finite Dimensional C ∗ -Algebras
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