Some \(C^\ast\)-algebras which are coronas of non-\(C^\ast\)-Banach algebras

DOI10.1016/j.geomphys.2016.03.012zbMath1357.47087OpenAlexW2301346839MaRDI QIDQ288824

Dan-Virgil Voiculescu

Publication date: 27 May 2016

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2016.03.012

zbMATH Keywords

\(K\)-theoryalmost normal operatorCalkin algebracommutant modulo a normed ideal operatordegree \(-1\) saturation

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Subnormal operators, hyponormal operators, etc. (47B20) Abstract operator algebras on Hilbert spaces (47L30) Operator ideals (47L20)

Related Items (4)

\(K\)-theory and perturbations of absolutely continuous spectra ⋮ A generalization of Voiculescu's theorem for normal operators to semifinite von Neumann algebras ⋮ Commutants mod normed ideals ⋮ Berger-Shaw theorem of self-commutators in semifinite von Neumann algebras

Cites Work

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• Functional calculus and joint torsion of pairs of almost commuting operators
• Countable degree-1 saturation of certain \(C^*\)-algebras which are coronas of Banach algebras
• Saturation and elementary equivalence of \(C^\ast\)-algebras
• Spectral theory of hyponormal operators
• Algebraic \(K\)-theory and locally convex algebras
• The analogues of entropy and of Fisher's information measure in free probability theory. V: Noncommutative Hilbert transforms
• K-theory for commutants in the Calkin algebra
• Lectures on hyponormal operators
• Commutators, symbols, and determining functions
• The completely positive lifting problem for \(C^*\)-algebras
• Notes on extensions of \(C^*\)-algebras
• Noncommutative potential theory and the sign of the curvature operator in Riemannian geometry
• On the existence of quasicentral approximate units relative to normed ideals. I
• On the spectral characterization of manifolds
• Almost normal operators mod Hilbert-Schmidt and the \(K\)-theory of the algebras \(E \Lambda (\Omega)\)
• The Essential Centre of the mod a Diagonalization Ideal Commutant of an n-tuple of Commuting Hermitian Operators
• Operator algebras and algebraic $K$-theory
• Countable saturation of corona algebras
• Dirichlet Forms on Noncommutative Spaces
• Logic and operator algebras
• A NONSEPARABLE AMENABLE OPERATOR ALGEBRA WHICH IS NOT ISOMORPHIC TO A -ALGEBRA
• Seminormal operators

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