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On Bell's inequalities and algebraic invariants
Some algebraic invariants associated with Bell's inequalities are defined for inclusions of von Neumann algebras and studied within the context of...
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On the uniqueness of the equilibrium state for an interacting fermion gas at high temperatures and low densities
Starting from bounded local perturbations, we release the spatial cutoff and prove the uniqueness of the KMS state at high temperatures and low...
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On haag dual nets over compact spaces
The purpose of this Letter is to analyze some concepts and methods used in papers of Fredenhagen et al. in order to prepare further results on the...
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A note on strongly additive conformal field theory and half-sided modular conormal standard inclusions
Given a half-sided modular standard inclusion (
N ⊂ ℳ, Ω) of von-Neumann algebras which is conormal, we construct a chiral conformal quantum field... -
On the relation between a conformal structure in spacetime and nets of local algebras of observables
In this Letter, we study the question of how to reconstruct the conformal structure (causality relation) of spacetime from a net of local algebras of...
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Theory of superselection sectors for generalized Ising models
We apply the theory of superselection sectors in the same way as done by G. Mack and V. Schomerus for the Ising model to generalizations of this...
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A note on essential duality
By considering some simple models, it is shown that the essential duality condition for local nets of von Neumann algebras associated with Wightman...
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Nuclearity, split property, and duality for the Klein-Gordon field in curved spacetime
Nuclearity, split property and duality are established for the nets of von Neumann algebras associated with the representations of distinguished...
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Theq-harmonic oscillator and the Al-Salam and Carlitz polynomials
One more model of a q -harmonic oscillator based on the q -orthogonal polynomials of Al-Salam and Carlitz is discussed. The explicit form of q -creation and
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Fusion structures from quantum groups: II. Why truncation is necessary
It is shown that a finite, reflection positive, and nontruncated fusion structure on an arbitrary Hopf algebra ℋ is trivial in the sense that q -traces...
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Symmetries and half-sided modular inclusions of von Neumann algebras
Let N , ℳ be a von Neumann algebras on a Hilbert space ℋ, Ω a common cyclic and separating vector. Assume Ω to be cyclic and also separating for N ′ ⋂ ℳ....
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Antilocality and a Reeh-Schlieder theorem on manifolds
It is shown that the operator A 1/2 , where A is any positive self-adjoint extension of a positive operator of the form ‘- Laplace-Beltrami operator + potential...
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Simple WZW superselection sectors
The superselection structure of simple currents of chiral Wess-Zumino-Witten theories, at arbitrary value k ∈ ℕ of the corresponding affine Lie...