Extension of the structure theorem of Borchers and its application to half-sided modular inclusions
arXiv:math/0412061 · doi:10.1142/S0129055X05002388
Abstract
A result of H.-W. Wiesbrock is extended from the case of a common cyclic and separating vector for the half-sided modular inclusion of von Neumann algebras to the case of a common faithful normal semifinite weight and at the same time a gap in Wiesbrock's proof is filled in.
arXiv comment47 pages
References in corpus (3)
Cited by in corpus (26)
- A General Proof of the Quantum Null Energy Condition
- A modular toolkit for bulk reconstruction
- Entropy distribution of localised states
- An Algebraic Construction of Boundary Quantum Field Theory
- Construction of wedge-local nets of observables through Longo-Witten endomorphisms
- Comments on black hole interiors and modular inclusions
- Relative entropy and curved spacetimes
- Nuclearity and Thermal States in Conformal Field Theory
- Localization in Nets of Standard Spaces
- Integrable QFT and Longo-Witten endomorphisms
- Modular nuclearity: A generally covariant perspective
- Thermal States in Conformal QFT. I
- Seeing the Entanglement Wedge
- Local Poincaré Algebra from Quantum Chaos
- Modular operator for null plane algebras in free fields
- Scale and Möbius covariance in two-dimensional Haag-Kastler net
- An algebraic Haag's theorem
- Modular Structure and Inclusions of Twisted Araki-Woods Algebras
- Standard subspaces of Hilbert spaces of holomorphic functions on tube domains
- Semigroups in 3-graded Lie groups and endomorphisms of standard subspaces
- Noninteraction of waves in two-dimensional conformal field theory
- Boundary Quantum Field Theory on the Interior of the Lorentz Hyperboloid
- Deformations of half-sided modular inclusions and non-local chiral field theories
- Generalized Entanglement, Charges and Intertwiners
- A New Proof of the QNEC
- Modular Intersections, Time Interval Algebras and Emergent AdS