C*-algebras of Hilbert module product systems
| dc.creator | Hirshberg, Ilan | |
| dc.date | 2002-05-23 | |
| dc.date | 2003-04-07 | |
| dc.date.accessioned | 2026-07-07T04:48:39Z | |
| dc.date.available | 2026-07-07T04:48:39Z | |
| dc.description | We consider a class of C*-algebras associated to one parameter continuous tensor product systems of Hilbert modules, which can be viewed as continuous counterparts of Pimsner's Toeplitz algebras. By exhibiting a homotopy of quasihomomorphisms, we prove that those algebras are $K$-contractible. One special case is closely related to the Rieffel-Wiener-Hopf extension of a crossed product by R considered by Rieffel and by Pimsner and Voiculescu, and can be used to produce a new proof of Connes' analogue of the Thom isomorphism and in particular of Bott periodicity. Another special case is closely related to Arveson's spectral C*-algebras, and is used to settle Arveson's problem of computing their K-theory, extending earlier results of Zacharias to cover the general case. | |
| dc.description | 11 pages (added an example and an appendix, corrected typos and improved exposition) | |
| dc.identifier | https://arxiv.org/abs/math/0205238 | |
| dc.identifier | http://arxiv.org/abs/math/0205238 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/64129 | |
| dc.subject | Operator Algebras | |
| dc.subject | K-Theory and Homology | |
| dc.subject | 46L80, 46L55, 46L08 | |
| dc.title | C*-algebras of Hilbert module product systems | |
| dc.type | text |