Compactly-aligned discrete product systems, and generalizations of O_\infty
| dc.creator | Fowler, Neal J. | |
| dc.date | 1998-09-29 | |
| dc.date.accessioned | 2026-07-07T05:26:13Z | |
| dc.date.available | 2026-07-07T05:26:13Z | |
| dc.description | The universal C*-algebras of discrete product systems generalize the Toeplitz- Cuntz algebras and the Toeplitz algebras of discrete semigroups. We consider a semigroup P which is quasi-lattice ordered in the sense of Nica, and, for a product system p:E\to P, we study those representations of E, called covariant, which respect the lattice structure of P. We identify a class of product systems, which we call compactly aligned, for which there is a purely C*-algebraic characterization of covariance, and study the algebra C*_{cov}(P,E) which is universal for covariant representations of E. Our main theorem is a characterization of the faithful representations of C*_{cov}(P,E) when P is the positive cone of a free product of totally-ordered amenable groups. | |
| dc.description | AMS-LaTeX, 17 pages | |
| dc.identifier | https://arxiv.org/abs/math/9809181 | |
| dc.identifier | http://arxiv.org/abs/math/9809181 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/77469 | |
| dc.subject | Operator Algebras | |
| dc.subject | 46L55 | |
| dc.title | Compactly-aligned discrete product systems, and generalizations of O_\infty | |
| dc.type | text |