Discrete product systems of Hilbert bimodules
| dc.creator | Fowler, Neal J. | |
| dc.date | 1999-04-21 | |
| dc.date.accessioned | 2026-07-07T05:28:46Z | |
| dc.date.available | 2026-07-07T05:28:46Z | |
| dc.description | A Hilbert bimodule is a right Hilbert module X over a C*-algebra A together with a left action of A as adjointable operators on X. We consider families X = {X_s :s\in P} of Hilbert bimodules, indexed by a semigroup P, which are endowed with a multiplication which implements isomorphisms X_s\otimes_A X_t \to X_{st}; such a family is a called a product system. We define a generalized Cuntz- Pimsner algebra O_X, and we show that every twisted crossed product of A by P can be realized as O_X for a suitable product system X. Assuming P is quasi- lattice ordered in the sense of Nica, we analyze a certain Toeplitz extension T_{cov}(X) of O_X by embedding it in a crossed product B_P \times_{τ,X} P which has been ``twisted'' by X; our main Theorem is a characterization of the faithful representations of B_P \times_{τ,X} P. | |
| dc.description | 38 pages, AMS-LaTeX | |
| dc.identifier | https://arxiv.org/abs/math/9904115 | |
| dc.identifier | http://arxiv.org/abs/math/9904115 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/78387 | |
| dc.subject | Operator Algebras | |
| dc.subject | 46L55 | |
| dc.title | Discrete product systems of Hilbert bimodules | |
| dc.type | text |