Conditional expectations on von Neumann algebras and the causal independence of quantized fields

DOI10.1007/BF01030843zbMath0467.46057OpenAlexW2061692746MaRDI QIDQ1155835

K. Yu. Dadashyan, S. S. Khoruzhij

Publication date: 1981

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01030843

zbMATH Keywords

quantum field theoryfree electromagnetic fieldexact conditional expectationslocally Fock modelsstatistical independence of local algebras

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54) Axiomatic quantum field theory; operator algebras (81T05) Constructive quantum field theory (81T08) Applications of selfadjoint operator algebras to physics (46L60) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51)

Cites Work

• Unnamed Item
• Product states for local algebras
• Fields, observables and gauge transformations. I
• A Lattice of Von Neumann Algebras Associated with the Quantum Theory of a Free Bose Field
• An Algebraic Approach to Quantum Field Theory

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