Quasidiagonal morphisms and homotopy

DOI10.1006/jfan.1997.3145zbMath0992.46042OpenAlexW2028241037MaRDI QIDQ1375930

Marius Dǎdǎrlat

Publication date: 2 July 2002

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

Full work available at URL: https://doi.org/10.1006/jfan.1997.3145

zbMATH Keywords

\(C^*\)-algebrasquasidiagonalityasymptotic morphismscompletely positive deformationsquasidiagonal morphism

Mathematics Subject Classification ID

Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) General theory of (C^*)-algebras (46L05)

Related Items (9)

The nuclear dimension of \(\mathcal{O}_\infty \)-stable \(C^\ast \)-algebras ⋮ APPROXIMATELY MULTIPLICATIVE DECOMPOSITIONS OF NUCLEAR MAPS ⋮ Quasidiagonal traces on exact \(C^\ast\)-algebras ⋮ Classification of 𝒪_{∞}-Stable 𝒞*-Algebras ⋮ Subalgebras of simple AF-algebras ⋮ Obstructions to matricial stability of discrete groups and almost flat $K$-theory ⋮ Quasidiagonality of nuclear \(\mathrm{C}^\ast\)-algebras ⋮ A new proof of the Tikuisis-White-Winter theorem ⋮ Fiberwise KK-equivalence of continuous fields of C*-algebras

Cites Work

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• C*-algebras with approximately inner flip
• Universal (co)homology theories
• Around quasidiagonal operators
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• Generalized inductive limits of finite-dimensional \(C^*\)-algebras
• A note on quasi-diagonal \(C^*\)-algebras and homotopy
• Lifting problems and local reflexivity for \(C^ *\)-algebras
• \(K\)-homology, asymptotic representations, and unsuspended \(E\)-theory
• On a class of stably finite nuclear \(C^*\)-algebras
• Multipliers of C -algebras
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• Ten problems in Hilbert space
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