Minimal E_0-semigroups
| dc.creator | Arveson, William | |
| dc.date | 1995-12-20 | |
| dc.date.accessioned | 2026-07-07T09:13:35Z | |
| dc.date.available | 2026-07-07T09:13:35Z | |
| dc.description | It is known that every semigroup of normal completely positive maps of a von Neumann can be ``dilated" in a particular way to an E_0-semigroup acting on a larger von Neumann algebra. The E_0-semigroup is not uniquely determined by the completely positive semigroup; however, it is unique (up to conjugacy) provided that certain conditions of {\it minimality} are met. Minimality is a subtle property, and it is often not obvious if it is satisfied for specific examples even in the simplest case where the von Neumann algebra is $\Cal B(H)$. In this paper we clarify these issues by giving a new characterization of minimality in terms projective cocycles and their limits. Our results are valid for semigroups of endomorphisms acting on arbitrary von Neumann algebras with separable predual. | |
| dc.description | 13 pages, AMS-TeX, PAM-659 | |
| dc.identifier | https://arxiv.org/abs/funct-an/9512004 | |
| dc.identifier | http://arxiv.org/abs/funct-an/9512004 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/152374 | |
| dc.subject | Functional Analysis | |
| dc.subject | Operator Algebras | |
| dc.title | Minimal E_0-semigroups | |
| dc.type | text |