Almost normal operators mod Hilbert-Schmidt and the \(K\)-theory of the algebras \(E \Lambda (\Omega)\)

DOI10.4171/JNCG/181zbMath1325.46074arXiv1112.4930OpenAlexW2964193578MaRDI QIDQ2264073

Dan-Virgil Voiculescu

Publication date: 20 March 2015

Published in: Journal of Noncommutative Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1112.4930

zbMATH Keywords

\(K\)-theoryBrown-Douglas-Fillmore theorynormal operatorDirichlet algebrasbidual Banach algebratrace-class self-commutator

Mathematics Subject Classification ID

Noncommutative topology (46L85) (K)-theory and operator algebras (including cyclic theory) (46L80) Subnormal operators, hyponormal operators, etc. (47B20) Abstract operator algebras on Hilbert spaces (47L30)

Related Items (13)

Noncommutative potential theory: a survey ⋮ Some \(C^\ast\)-algebras which are coronas of non-\(C^\ast\)-Banach algebras ⋮ Capacity and the quasicentral modulus ⋮ Trace formula of semicommutators ⋮ On the Carey-Helton-Howe-Pincus trace formula ⋮ \(K\)-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 ⋮ Everything is possible for the domain intersection dom \(T \cap\) dom \(T^\ast\) ⋮ The elementary operator and Fuglede-Putnam theorem for a class of essentially commuting almost normal operators with finite modulus of Hilbert-Schmidt quasitriangularity ⋮ Berger-Shaw theorem of self-commutators in semifinite von Neumann algebras ⋮ Variations in noncommutative potential theory: Finite-energy states, potentials and multipliers ⋮ A Fuglede-Putnam theorem modulo the Hilbert-Schmidt class for almost normal operators with finite modulus of Hilbert-Schmidt quasi-triangularity

Cites Work

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• Functions of normal operators under perturbations
• Algebraic \(K\)-theory and locally convex algebras
• Non-commutative differential geometry
• K-theory for commutants in the Calkin algebra
• Lectures on hyponormal operators
• Commutators, symbols, and determining functions
• Dirichlet forms and Markov semigroups on \(C^*\)-algebras
• Noncommutative potential theory and the sign of the curvature operator in Riemannian geometry
• The Essential Centre of the mod a Diagonalization Ideal Commutant of an n-tuple of Commuting Hermitian Operators
• The second dual of a Banach algebra
• Operator algebras and algebraic $K$-theory
• Dirichlet Forms on Noncommutative Spaces
• An Introduction to the Theory of Centralizers
• Seminormal operators

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