Endomorphism Semigroups and Lightlike Translations

Details Endomorphism Semigroups and Lightlike Translations Endomorphism Semigroups and Lightlike Translations

1994-12-12

arxiv.org/abs/hep-th/9412094v1

Lett.Math.Phys. 38 (1996) 77-90

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, Latex

Scientific paper

Certain criteria are demonstrated for a spatial derivation of a von Neumann algebra to generate a one-parameter semigroup of endomorphisms of that algebra. These are then used to establish a converse to recent results of Borchers and of Wiesbrock on certain one-parameter semigroups of endomorphisms of von Neumann algebras (specifically, Type III_1 factors) that appear as lightlike translations in the theory of algebras of local observables.

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