C*-algebras associated to product systems of Hilbert bimodules
| dc.creator | Sims, Aidan | |
| dc.creator | Yeend, Trent | |
| dc.date | 2007-12-18 | |
| dc.date | 2009-01-07 | |
| dc.date.accessioned | 2026-07-07T12:25:44Z | |
| dc.date.available | 2026-07-07T12:25:44Z | |
| dc.description | Let (G,P) be a quasi-lattice ordered group and let X be a compactly aligned product system over P of Hilbert bimodules. Under mild hypotheses we associate to X a C*-algebra which we call the Cuntz-Nica-Pimsner algebra of X. Our construction generalises a number of others: a sub-class of Fowler's Cuntz-Pimsner algebras for product systems of Hilbert bimodules; Katsura's formulation of Cuntz-Pimsner algebras of Hilbert bimodules; the C*-algebras of finitely aligned higher-rank graphs; and Crisp and Laca's boundary quotients of Toeplitz algebras. We show that for a large class of product systems X, the universal representation of X in its Cuntz-Nica-Pimsner algebra is isometric. | |
| dc.description | 24 pages. v2: material has been rearranged so that the algebra NO_X is defined only under hypotheses which ensure that the universal representation is injective. The substance of the results is unchanged. v3: minor revisions; this version to appear in J. Operator Theory | |
| dc.identifier | https://arxiv.org/abs/0712.3073 | |
| dc.identifier | http://arxiv.org/abs/0712.3073 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/214661 | |
| dc.subject | Operator Algebras | |
| dc.subject | 46L05 | |
| dc.title | C*-algebras associated to product systems of Hilbert bimodules | |
| dc.type | text |