Connes' metric for states in group algebras
| dc.creator | Andruchow, Esteban | |
| dc.creator | Larotonda, Gabriel | |
| dc.date | 2008-05-18 | |
| dc.date.accessioned | 2026-07-07T09:39:39Z | |
| dc.date.available | 2026-07-07T09:39:39Z | |
| dc.description | In this article we follow the main idea of A. Connes for the construction of a metric in the state space of a C*-algebra. We focus in the reduced algebra of a discrete group $Γ$, and prove some equivalences and relations between two central objects of this category: the word-length growth (connected with the degree of the extension of $Γ$ when the group is an extension of Z by a finite group), and the topological equivalence between the w*-topology and the one introduced with this metric in the state space of $C_r*(Γ)$. | |
| dc.identifier | https://arxiv.org/abs/0805.2732 | |
| dc.identifier | http://arxiv.org/abs/0805.2732 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/161250 | |
| dc.subject | Operator Algebras | |
| dc.subject | Metric Geometry | |
| dc.subject | 46L30 (Primary) 46L05, 46L85 (Secondary) | |
| dc.title | Connes' metric for states in group algebras | |
| dc.type | text |