Poisson transform for higher-rank graph algebras and its applications
| dc.creator | Skalski, Adam | |
| dc.creator | Zacharias, Joachim | |
| dc.date | 2007-07-09 | |
| dc.date | 2008-06-16 | |
| dc.date.accessioned | 2026-07-07T09:44:22Z | |
| dc.date.available | 2026-07-07T09:44:22Z | |
| dc.description | Higher-rank graph generalisations of the Popescu-Poisson transform are constructed, allowing us to develop a dilation theory for higher rank operator tuples. These dilations are joint dilations of the families of operators satisfying relations encoded by the graph structure which we call $Λ$-contractions or $Λ$-coisometries. Besides commutant lifting results and characterisations of pure states on higher rank graph algebras several applications to the structure theory of non-selfadjoint graph operator algebras are presented generalising recent results in special cases. | |
| dc.description | 25 pages; v3 corrects a definition of a doubly commuting $Λ$-contraction and adds a reference. The paper will appear in the Journal of Operator Theory | |
| dc.identifier | https://arxiv.org/abs/0707.1292 | |
| dc.identifier | http://arxiv.org/abs/0707.1292 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/162852 | |
| dc.subject | Operator Algebras | |
| dc.subject | Functional Analysis | |
| dc.subject | 47A20 (Primary); 05C20, 46L05, 47A13, 47L75 (Secondary) | |
| dc.title | Poisson transform for higher-rank graph algebras and its applications | |
| dc.type | text |