Representations obeying the spectrum condition
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Publication:1051868
DOI10.1007/BF01209631zbMath0515.46064MaRDI QIDQ1051868
Publication date: 1982
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
quantum field theoryvacuum representationtype III factorspositive energy representationsC*-algebra of quasilocal observablesinfrared representationsspectrum condition
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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