On isometric dilations of product systems of C*-correspondences and applications to families of contractions associated to higher-rank graphs
| dc.creator | Skalski, Adam | |
| dc.date | 2008-09-25 | |
| dc.date | 2009-01-05 | |
| dc.date.accessioned | 2026-07-07T12:23:36Z | |
| dc.date.available | 2026-07-07T12:23:36Z | |
| dc.description | Let E be a product system of C*-correspondences over N^r. Some sufficient conditions for the existence of a not necessarily regular isometric dilation of a completely contractive representation of E are established and difference between regular and *-regular dilations discussed. It is in particular shown that a minimal isometric dilation is *-regular if and only if it is doubly commuting. The case of product systems associated with higher-rank graphs is analysed in detail. | |
| dc.description | 20 pages; the final version will appear in the Indiana University Mathematics Journal (v2 contains a few minor corrections suggested by Orr Shalit) | |
| dc.identifier | https://arxiv.org/abs/0809.4348 | |
| dc.identifier | http://arxiv.org/abs/0809.4348 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/214047 | |
| dc.subject | Operator Algebras | |
| dc.subject | Functional Analysis | |
| dc.subject | 47A20 (Primary) 05C20, 46L08, 47A13 (Secondary) | |
| dc.title | On isometric dilations of product systems of C*-correspondences and applications to families of contractions associated to higher-rank graphs | |
| dc.type | text |