Local preparability of states and the split property in quantum field theory

DOI10.1007/BF00401161zbMath0649.46063OpenAlexW2066373036MaRDI QIDQ1105816

Reinhard F. Werner

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1007/bf00401161

zbMATH Keywords

existence of local operations preparing a given local stateexistence of type I factorssplit property for the local net of observable algebras

Mathematics Subject Classification ID

Axiomatic quantum field theory; operator algebras (81T05) Applications of selfadjoint operator algebras to physics (46L60) Miscellaneous applications of functional analysis (46N99)

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Cites Work

• Maximal violation of Bell's inequalities is generic in quantum field theory
• Causal independence and the energy-level density of states in local quantum field theory
• Interpolation by type I factors and the flip automorphism
• Standard and split inclusions of von Neumann algebras
• Local aspects of superselection rules
• On the connection between quantum fields and von Neumann algebras of local operators
• On Noether's theorem in quantum field theory
• Normal product states for fermions and twisted duality for CCR- and CAR- type algebras with application to the \(Yukawa_ 2 \)quantum field model
• Product states for local algebras
• A remark on a theorem of B. Misra
• An Algebraic Approach to Quantum Field Theory

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