The C^*-algebra of compact perturbations of diagonal operators

DOI10.7153/oam-2021-15-05zbMath1490.46046arXiv1903.06102OpenAlexW3147464883MaRDI QIDQ3383849

Esteban Andruchow, Alejandro Varela, Eduardo Chiumiento

Publication date: 16 December 2021

Published in: Operators and Matrices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.06102

zbMATH Keywords

projectionscompact operatorsdiagonal operators

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) General theory of (C^*)-algebras (46L05)

Cites Work

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• Operators which are the difference of two projections
• Loop groups and equations of KdV type
• The index of a pair of projections
• Conditional expectations and operator decompositions
• Exponential rank of \(C^{\ast}\)-algebras with real rank zero and the Brown-Pedersen conjectures
• Derivations and automorphisms of operator algebras
• On the homotopy type of certain groups of operators
• The norm of a derivation
• Operators commuting with a von Neumann algebra modulo the set of compact operators
• Operator algebras. Theory of \(C^*\)-algebras and von Neumann algebras
• Unitary subgroups and orbits of compact self-adjoint operators
• Minimality of Geodesics in Grassmann Manifolds
• Simple $C^*$-algebras with the property weak (FU).
• Forcing for Mathematicians

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