Discrete product systems and twisted crossed products by semigroups
| dc.creator | Fowler, N. | |
| dc.creator | Raeburn, I. | |
| dc.date | 1997-05-09 | |
| dc.date.accessioned | 2026-07-07T09:13:47Z | |
| dc.date.available | 2026-07-07T09:13:47Z | |
| dc.description | A product system E over a semigroup P is a family of Hilbert spaces {E_s:s\in P} together with multiplications E_s \times E_t\to E_{st}. We view E as a unitary- valued cocycle on P, and consider twisted crossed products A \times_{β,E} P involving E and an action βof P by endomorphisms of a C*-algebra A. When P is quasi-lattice ordered in the sense of Nica, we isolate a class of covariant representations of E, and consider a twisted crossed product B_P \times_{τ,E} P which is universal for covariant representations of E when E has finite-dimensional fibres, and in general is slightly larger. In particular, when P=N and \dim E_1=\infty, our algebra B_\NN \times_{τ,E} N is a new infinite analogue of the Toeplitz-Cuntz algebras TO_n. Our main theorem is a characterisation of the faithful representations of B_P \times_{τ,E} P. | |
| dc.description | 26 pages, AMS-LaTeX | |
| dc.identifier | https://arxiv.org/abs/funct-an/9705001 | |
| dc.identifier | http://arxiv.org/abs/funct-an/9705001 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/152446 | |
| dc.subject | Functional Analysis | |
| dc.subject | Operator Algebras | |
| dc.title | Discrete product systems and twisted crossed products by semigroups | |
| dc.type | text |