On modular inclusion and spectrum condition

DOI10.1007/BF00777378zbMath0810.46074OpenAlexW1982815380MaRDI QIDQ1801359

Hans-Jürgen Borchers

Publication date: 18 July 1993

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

Full work available at URL: https://doi.org/10.1007/bf00777378

zbMATH Keywords

reflection symmetryspectrum conditionhalf-sided modular inclusionfamily of von Neumann algebrasgeometric interpretation of modular actions

Mathematics Subject Classification ID

Axiomatic quantum field theory; operator algebras (81T05) Applications of selfadjoint operator algebras to physics (46L60) Linear operators in (C^*)- or von Neumann algebras (47C15)

Related Items

GEOMETRIC MODULAR ACTION AND SPACETIME SYMMETRY GROUPS, Modular inclusion, the Hawking temperature, and quantum field theory in curved spacetime, Half-sided modular inclusion and the construction of the Poincaré group, Modular Hamiltonians on the null plane and the Markov property of the vacuum state, On revolutionizing quantum field theory with Tomita’s modular theory, CHARGED SECTORS, SPIN AND STATISTICS IN QUANTUM FIELD THEORY ON CURVED SPACETIMES, Unnamed Item, KOLMOGOROV SYSTEMS AND ANOSOV SYSTEMS IN QUANTUM THEORY, An algebraic characterization of vacuum states in Minkowski space

Cites Work

• Convergence of local charges and continuity properties of \(W^*\)- inclusions
• The CPT-theorem in two-dimensional theories of local observables
• A comment on a recent work of Borchers
• An algebraic characterization of vacuum states in Minkowski space
• Local fields with the wrong connection between spin and statistics
• On the duality condition for a Hermitian scalar field
• Causality Implies the Lorentz Group
• On the Translation Invariance of Local Internal Symmetries