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

Abstract

We give an account of the theory of $E_0$-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 $E_0$-semigroups. We also include a short note in Appendix, based on Arveson's observation, on noncommutative Poisson boundaries.

26 pages

References in corpus (4)

• Pure E_0-semigroups and absorbing states
• On automorphisms of type II Arveson systems (probabilistic approach)
• Continuity of CP-semigroups in the point-strong operator topology
• On type II_0 E_0-semigroups induced by boundary weight doubles

Cited by in corpus (1)

• Poisson boundaries of monoidal categories