Derivations commuting with abelian gauge actions on lattice systems

DOI10.1007/BF01206028zbMath0508.46045OpenAlexW1993128540MaRDI QIDQ1837896

Ola Bratteli, Palle E. T. Jorgensen

Publication date: 1982

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01206028

zbMATH Keywords

coreinfinitesimal generatorfixed point algebraAF algebraclosed *-derivationUHF-algebraabelian gauge actions on lattice systemsaction of a compact abelian group on a C*-algebraapproximate identity consisting of projections

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Commutators, derivations, elementary operators, etc. (47B47) Quantum equilibrium statistical mechanics (general) (82B10)

Related Items

Quantum dynamical semigroups, symmetry groups, and locality, Quasi-product actions of a compact abelian group on a \(C^*\)-algebra, 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, Duality for automorphisms on a compact C*-dynamical system, Noncommutative topological dynamics and compact actions on \(C^*\)- algebras, Lie algebras of unbounded derivations, Extending derivations, A generation theorem for operators commuting with group actions, The characterization of differential operators by locality: Dissipations and ellipticity

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