English

Spatial E_0-Semigroups are Restrictions of Inner Automorphismgroups

Operator Algebras 2013-11-20 v1

Abstract

We show that an E_0-semigroup acting on the algebra of all adjointable operators on a Hilbert module, which has a spatial product system, arises as the the restriction of a semigroup inner automorphisms.

Keywords

Cite

@article{arxiv.math/0509323,
  title  = {Spatial E_0-Semigroups are Restrictions of Inner Automorphismgroups},
  author = {Michael Skeide},
  journal= {arXiv preprint arXiv:math/0509323},
  year   = {2013}
}