English

$E_0$-semigroups: around and beyond Arveson's work

Operator Algebras 2012-09-27 v1

Abstract

We give an account of the theory of E0E_0-semigroups. We first focus on Arveson's contributions to the field and related results. Then we present the recent development of type II and type III E0E_0-semigroups. We also include a short note in Appendix, based on Arveson's observation, on noncommutative Poisson boundaries.

Keywords

Cite

@article{arxiv.1209.5838,
  title  = {$E_0$-semigroups: around and beyond Arveson's work},
  author = {Masaki Izumi},
  journal= {arXiv preprint arXiv:1209.5838},
  year   = {2012}
}

Comments

26 pages

R2 v1 2026-06-21T22:11:20.962Z