On quantales that classify C*-algebras
| dc.creator | Kruml, David | |
| dc.creator | Resende, Pedro | |
| dc.date | 2004-03-31 | |
| dc.date.accessioned | 2026-07-07T05:06:57Z | |
| dc.date.available | 2026-07-07T05:06:57Z | |
| dc.description | The functor Max of Mulvey assigns to each unital C*-algebra A the unital involutive quantale Max A of closed linear subspaces of A, and it has been remarked that it classifies unital C*-algebras up to *-isomorphism. In this paper we provide a proof of this and of the stronger fact that for every isomorphism u : Max A -> Max B of unital involutive quantales there is a *-isomorphism u' : A -> B such that Max u' coincides with u when restricted to the left-sided elements of Max A. But we also show that isomorphisms u : Max A -> Max B may exist for which no isomorphism v : A -> B is such that Max v = u. | |
| dc.identifier | https://arxiv.org/abs/math/0404001 | |
| dc.identifier | http://arxiv.org/abs/math/0404001 | |
| dc.identifier | Cah. Topol. Géom. Différ. Catég. 45 (2004) 287-296. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70672 | |
| dc.subject | Operator Algebras | |
| dc.subject | Category Theory | |
| dc.subject | Rings and Algebras | |
| dc.subject | Primary 46L05; Secondary 06F07, 46L85, 46M15, 54A05 | |
| dc.title | On quantales that classify C*-algebras | |
| dc.type | text |