In which a theory of dimension related to the Jones index and based on the notion of conjugation is developed. An elementary proof of the additivity and multiplicativity of the dimension is given andâ€¦ (More)

The first part of this paper extends the Doplicher-Haag-Roberts theory of superselection sectors to quantum field theory on arbitrary globally hyperbolic spacetimes. The statistics of aâ€¦ (More)

A spin-statistics theorem and a PCT theorem are obtained in the context of the superselection sectors in Quantum Field Theory on a 4-dimensional space-time. Our main assumption is the requirementâ€¦ (More)

Given an irreducible local conformal net A of von Neumann algebras on S1 and a finite-index conformal subnet B âŠ‚ A, we show that A is completely rational iff B is completely rational. In particularâ€¦ (More)

We describe the structure of the inclusions of factors A(E) âŠ‚ A(E) associated with multi-intervals E âŠ‚ R for a local irreducible net A of von Neumann algebras on the real line satisfying the splitâ€¦ (More)

The Bisognano-Wichmann property on the geometric behavior of the modular group of the von Neumann algebras of local observables associated to wedge regions in Quantum Field Theory is shown to provideâ€¦ (More)

Making use of a recent result of Borchers, an algebraic version of the Bisognano-Wichmann theorem is given for conformal quantum field theories, i.e the Tomita-Takesaki modular group associated withâ€¦ (More)