Endomorphism Semigroups and Lightlike Translations
High Energy Physics - Theory
2015-06-26 v1
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.
Cite
@article{arxiv.hep-th/9412094,
title = {Endomorphism Semigroups and Lightlike Translations},
author = {D. R. Davidson},
journal= {arXiv preprint arXiv:hep-th/9412094},
year = {2015}
}
Comments
9 pages, Latex