Representations obeying the spectrum condition

DOI10.1007/BF01209631zbMath0515.46064MaRDI QIDQ1051868

Mauro Spera, Sergio Doplicher

Publication date: 1982

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

zbMATH Keywords

quantum field theoryvacuum representationtype III factorspositive energy representationsC*-algebra of quasilocal observablesinfrared representationsspectrum condition

Mathematics Subject Classification ID

Axiomatic quantum field theory; operator algebras (81T05) Applications of selfadjoint operator algebras to physics (46L60) Classifications of (C^*)-algebras (46L35) Miscellaneous applications of functional analysis (46N99)

Related Items (5)

Rotational KMS states and type I conformal nets ⋮ Unnamed Item ⋮ Local normality properties of some infrared representations ⋮ Ground state representations of some non-rational conformal nets ⋮ Unnamed Item

Cites Work

• Unnamed Item
• A Stone-Weierstrass theorem for \(C^*\)-algebras
• Locality and the structure of particle states
• Energy and momentum as observables in quantum field theory
• Covariance algebras in field theory and statistical mechanics
• On the simplicity of the even CAR algebra and free field models
• The even CAR-algebra
• Free states of the canonical anticommutation relations
• Tomita's theory of modular Hilbert algebras and its applications
• Conditional expectations in von Neumann algebras
• Remarks on spectra of modular operators of von Neumann algebras
• Some covariant representations of massless Fermi fields
• On te Algebra of All Local Observables
• An Algebraic Approach to Quantum Field Theory

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