Non-commutative metric topology on matrix state space
| dc.creator | Wu, Wei | |
| dc.date | 2004-10-27 | |
| dc.date.accessioned | 2026-07-07T06:29:44Z | |
| dc.date.available | 2026-07-07T06:29:44Z | |
| dc.description | We present an operator space version of Rieffel's theorem on the agreement of the metric topology, on a subset of the Banach space dual of a normed space, from a seminorm with the weak*-topology. As an application we obtain a necessary and sufficient condition for the matrix metric from an unbounded Fredholm module to give the BW-topology on the matrix state space of the $C^*$-algebra. Motivated by recent results we formulate a non-commutative Lipschitz seminorm on a matrix order unit space and characterize those matrix Lipschitz seminorms whose matrix metric topology coincides with the BW-topology on the matrix state space. | |
| dc.description | 10 pages | |
| dc.identifier | https://arxiv.org/abs/math/0410587 | |
| dc.identifier | http://arxiv.org/abs/math/0410587 | |
| dc.identifier | Proc. Amer. Math. Soc. 134 (2006), no. 2, 443--453 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/98137 | |
| dc.subject | Operator Algebras | |
| dc.subject | 46L87; 58B30; 46L30 | |
| dc.title | Non-commutative metric topology on matrix state space | |
| dc.type | text |