Unbounded derivations tangential to compact groups of automorphisms

DOI10.1016/0022-1236(82)90064-7zbMath0485.46035OpenAlexW2069037314MaRDI QIDQ1164239

Ola Bratteli, Palle E. T. Jorgensen

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1016/0022-1236(82)90064-7

zbMATH Keywords

group actionfixed point algebracovariant representationgauge-automorphisms on the CAR algebragenerator of a one-parameter group of *-automorphismsunbounded skew-adjoint operator

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Groups and semigroups of linear operators (47D03) Commutators, derivations, elementary operators, etc. (47B47) Automorphisms of selfadjoint operator algebras (46L40)

Related Items (18)

Quantum dynamical semigroups, symmetry groups, and locality ⋮ Smooth derivations commuting with Lie group actions ⋮ Unnamed Item ⋮ Noncommutative differential geometry, quantization, and smooth symmetries of the \(C^*\)-algebras associated to topological dynamics ⋮ On Some Nonextendable Derivations of the Gauge-Invariant Car Algebra ⋮ Dynamical semigroups commuting with compact abelian actions ⋮ On Derivations Annihilating a Maximal Abelian Subalgebra ⋮ On discrete analytic functions: products, rational functions and reproducing kernels ⋮ Noncommutative topological dynamics and compact actions on \(C^*\)- algebras ⋮ Lie algebras of unbounded derivations ⋮ A \(C^*\)-algebraic Schoenberg theorem ⋮ Extending derivations ⋮ Unbounded derivations commuting with compact group actions. \(II^*\) ⋮ Derivations in \(C^*\)-algebras commuting with compact actions ⋮ Relative locality of derivations ⋮ A generation theorem for operators commuting with group actions ⋮ Unbounded derivations tangential to compact groups of automorphisms. II ⋮ Compact symmetry groups and generators for sub-Markovian semigroups

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