Locality and differential operators on \(C^*\)-algebras

DOI10.1016/0022-0396(86)90088-4zbMath0593.46056OpenAlexW2026613285MaRDI QIDQ1076295

David E. Evans, Ola Bratteli, George A. Elliott

Publication date: 1986

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(86)90088-4

zbMATH Keywords

local operator*-automorphisms of a \(C^*\)-algebragenerator of a strongly continuous one-parameter group ofgenerator of a strongly continuous one-parameter group of *-automorphisms of a \(C^*\)- algebrainvariant dissipationone- parameter semigroup of completely positive contractionssecond order locality conditionunbounded central multipliers

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Groups and semigroups of linear operators (47D03) Commutators, derivations, elementary operators, etc. (47B47)

Related Items (4)

Some automatic continuity theorems for operator algebras and centralizers of Pedersen's ideal ⋮ Quivers and path semigroups characterized by locality conditions ⋮ Unnamed Item ⋮ Relative locality of derivations

Cites Work

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• A \(C^*\)-algebraic Schoenberg theorem
• Relative locality of derivations
• Unbounded derivations tangential to compact groups of automorphisms. II
• Quantum dynamical semigroups, symmetry groups, and locality
• Applications of fibre bundles to the certain class of \(C^*\)-algebras
• Quantum dynamical semigroups and the neutron diffusion equation
• Dynamical semigroups commuting with compact abelian actions
• Derivations on Compact Spaces
• A Simple Proof of the Dauns-Hofmann Theorem.

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