Remarks on the Type of Von Neumann Algebras of Local Observables in Quantum Field Theory

DOI10.1063/1.1703932zbMath0127.19201OpenAlexW2092603165MaRDI QIDQ5333999

Richard V. Kadison

Publication date: 1963

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

Full work available at URL: https://doi.org/10.1063/1.1703932

zbMATH Keywords

quantum theory

Related Items (23)

Background Dependence of Local States ⋮ Extended locality and other properties of local \(W^*\)-algebras ⋮ Ergodic properties of one-parameter automorphism groups of operator algebras ⋮ Classical dynamics, arrow of time, and genesis of the Heisenberg commutation relations ⋮ Infinite index extensions of local nets and defects ⋮ Nuclear maps and modular structures. I: General properties ⋮ The role of type III factors in quantum field theory ⋮ Generalized Einstein-Podolsky-Rosen states ⋮ On revolutionizing quantum field theory with Tomita’s modular theory ⋮ Comments on lightlike translations and applications in relativistic quantum field theory ⋮ Finite subalgebras of a von Neumann algebra ⋮ On the type of local algebras in quantum field theory ⋮ Entanglement and open systems in algebraic quantum field theory ⋮ Unbounded derivations and invariant states ⋮ Similarity of operator algebras ⋮ Transcending Classical Invariant Theory ⋮ On states of perfect correlation ⋮ On the interaction picture ⋮ A remark on a theorem of B. Misra ⋮ Structure of the algebras of some free systems ⋮ Vecteurs totalisateurs d'une algébre de von Neumann ⋮ Standard and split inclusions of von Neumann algebras ⋮ Von Neumann Algebras of Local Observables for Free Scalar Field

Cites Work

• Unitary invariants for representations of operator algebras
• On rings of operators
• Postulates of Quantum Field Theory
• A Lattice of Von Neumann Algebras Associated with the Quantum Theory of a Free Bose Field

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