On the existence of $E_0$-semigroups
Operator Algebras
2007-05-23 v1
Abstract
Product systems are the classifying structures for semigroups of endomorphisms of B(H), in that two -semigroups are cocycle conjugate iff their product systems are isomorphic. Thus it is important to know that every abstract product system is associated with an -semigrouop. This was first proved more than fifteen years ago by rather indirect methods. Recently, Skeide has given a more direct proof. In this note we give yet another proof by an elementary construction.
Cite
@article{arxiv.math/0605215,
title = {On the existence of $E_0$-semigroups},
author = {William Arveson},
journal= {arXiv preprint arXiv:math/0605215},
year = {2007}
}