Commutants mod Normed Ideals
Dan-Virgil Voiculescu
TL;DR
This paper surveys operator algebras formed as commutants modulo normed ideals, exploring their connections to operator perturbations and noncommutative geometry.
Contribution
It provides a comprehensive overview of commutants mod normed ideals and their role in perturbation theory and noncommutative geometry.
Findings
Characterization of commutants modulo normed ideals
Connections to operator perturbation theory
Applications in noncommutative geometry
Abstract
We survey the operator algebras arising as commutants modulo normed ideals of finite sets of hermitian operators and connections to perturbations of operators and noncommutative geometry.
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Taxonomy
TopicsAdvanced Topics in Algebra · Advanced Operator Algebra Research · Holomorphic and Operator Theory