English

Existence of $E_0$--Semigroups for Arveson Systems: Making Two Proofs into One

Operator Algebras 2013-11-20 v1

Abstract

Since quite a time there were available only two rather difficult and involved proofs, the original one by Arveson and a more recent one by Liebscher, of the fact that for every Arveson system there exists an E_0-semigroup. We put together two recent short proofs, one by Skeide and one by Arveson, to obtain a still simpler one, which unfies the advantages of each proof and discards with their disadvantages.

Keywords

Cite

@article{arxiv.math/0605480,
  title  = {Existence of $E_0$--Semigroups for Arveson Systems: Making Two Proofs into One},
  author = {Michael Skeide},
  journal= {arXiv preprint arXiv:math/0605480},
  year   = {2013}
}
R2 v1 2026-07-22T17:36:02.928Z