Endomorphism Semigroups and Lightlike Translations

Abstract

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.

9 pages, Latex

References in corpus (1)

• Group Cohomology, Modular Theory and Space-time Symmetries

Cited by in corpus (2)

• Extension of the structure theorem of Borchers and its application to half-sided modular inclusions
• Local Nature of Coset Models