Representations of product systems over semigroups and dilations of commuting CP maps
| dc.creator | Solel, Baruch | |
| dc.date | 2005-02-20 | |
| dc.date | 2005-12-01 | |
| dc.date.accessioned | 2026-07-07T06:39:28Z | |
| dc.date.available | 2026-07-07T06:39:28Z | |
| dc.description | We study completely contractive representations of product systems of $C^*$-correspondences over semigroups. For a product system of $C^*$-correspondences over the semigroup $\mathbb{N}^2$, we prove that every such representation can be dilated to an isometric (or Toeplitz) representation. We use it to prove that every pair of commuting CP maps on a von Neumann algebra $M$ can be dilated to a commuting pair of endomorphisms (on a larger von Neumann algebra). | |
| dc.description | Revised version. References added. Changes in exposition. To appear in JFA | |
| dc.identifier | https://arxiv.org/abs/math/0502423 | |
| dc.identifier | http://arxiv.org/abs/math/0502423 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/101087 | |
| dc.subject | Operator Algebras | |
| dc.subject | 46L08, 46L10, 46L55, 46L57, 47L30 | |
| dc.title | Representations of product systems over semigroups and dilations of commuting CP maps | |
| dc.type | text |