A remark about the Connes fusion tensor product
| dc.creator | Thom, Andreas | |
| dc.date | 2006-01-03 | |
| dc.date.accessioned | 2026-07-07T06:58:29Z | |
| dc.date.available | 2026-07-07T06:58:29Z | |
| dc.description | We analyze the algebraic structure of the Connes fusion tensor product (CFTP) in the case of bi-finite Hilbert modules over a von Neumann algebra M. It turns out that all complications in its definition disappear if one uses the closely related bi-modules of bounded vectors. We construct an equivalence of monoidal categories with duality between a category of Hilbert bi-modules over M with CFTP and some natural category of bi-modules over M with the usual relative algebraic tensor product. The results are surely well-known to the experts. We hope that the exposition and presentation is useful for those who want to learn about the CFTP . | |
| dc.identifier | https://arxiv.org/abs/math/0601045 | |
| dc.identifier | http://arxiv.org/abs/math/0601045 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/107375 | |
| dc.subject | Operator Algebras | |
| dc.subject | 46L | |
| dc.title | A remark about the Connes fusion tensor product | |
| dc.type | text |