LINEAR MAPPINGS THAT PRESERVE THE DERIVATIONAL STRUCTURE OF C*-ALGEBRAS

DOI10.1080/16073606.1999.9632079zbMath0953.46028OpenAlexW1997219430MaRDI QIDQ4949956

Louis E. Labuschagne

Publication date: 7 May 2000

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/16073606.1999.9632079

zbMATH Keywords

canonical commutation relation\(C^\ast\)-algebraderivationcomposition operatorcontinuous homomorphismsdifferentiable structurecontinuous Jordan *-morphismnonexistence of bounded observablesprinciple of non-increasability of differentiabilityspace of derivations of countable dimension

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Derivations, dissipations and positive semigroups in (C^*)-algebras (46L57)

Cites Work

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• Derivations mapping into the radical
• Homomorphisms between algebras of differentiable functions in infinite dimensions
• Derivations, dissipations and group actions on \(C^ *\)-algebras
• Linear maps between \(C^*\)-algebras whose adjoints preserve extreme points of the dual ball
• Composition Operators Between Algebras of Differentiable Functions
• On a Theorem of J. D. Weston
• An example on composite differentiable functions in infinite dimensions
• On Partially Ordered Vector Spaces and Their Duals, with Applications to Simplexes and C*-Algebras