On Lie algebras of operators

DOI10.1016/0022-1236(89)90056-6zbMath0694.46041OpenAlexW1969092455MaRDI QIDQ909203

N. E. Zubov

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0022-1236(89)90056-6

zbMATH Keywords

Lie algebras of operators on Banach spacesLie groups acting on \(C^*\)- algebrasstructure theorem for perturbations of abelian Lie algebras

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Nonassociative selfadjoint operator algebras (46L70) Automorphisms of selfadjoint operator algebras (46L40)

Related Items (1)

Exponentiation of infinite dimensional Z-graded lie algebras

Cites Work

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• Derivations, dissipations and group actions on \(C^ *\)-algebras
• Quasi-product actions of a compact abelian group on a \(C^*\)-algebra
• On \(C^\infty\)-vectors and intertwining bilinear forms for representations of Lie groups
• Uniformly continuous representations of Lie groups
• Restricting a compact action to an injective subfactor
• Derivations Tangential to Compact Group Actions: Spectral Conditions in the Weak Closure
• Derivations, dynamical systems, and spectral restrictions.
• Smooth Lie group actions on non-commutative tori
• Some Remarks on Representations of Connected Groups
• A theorem on unitary representations of semisimple Lie groups

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