Strong perforation in infinitely generated K_0-groups of simple C*-algebras
| dc.creator | Toms, Andrew S. | |
| dc.date | 2005-09-19 | |
| dc.date.accessioned | 2026-07-07T06:18:12Z | |
| dc.date.available | 2026-07-07T06:18:12Z | |
| dc.description | Let (G,G^+) be a simple ordered abelian group. We say that G has strong perforation if there exists a non-positive element x in G such that nx is positive and non-zero for some natural number n. Otherwise, the group is said to be weakly unperforated. Examples of simple C*-algebras whose ordered K_0-groups have this property and for which the entire order structure on K_0 is known have, until now, been restricted to the case where K_0 is group isomorphic to the integers. We construct simple, separable, unital C*-algebras with strongly perforated K_0-groups group isomorphic to an arbitrary infinitely generated subgroup of the rationals, and determine the order structure on K_0 in each case. | |
| dc.description | 15 pages | |
| dc.identifier | https://arxiv.org/abs/math/0509425 | |
| dc.identifier | http://arxiv.org/abs/math/0509425 | |
| dc.identifier | Math. Scand. 96 (2005), pp. 147-160 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/94652 | |
| dc.subject | Operator Algebras | |
| dc.subject | 46L35; 46L80 | |
| dc.title | Strong perforation in infinitely generated K_0-groups of simple C*-algebras | |
| dc.type | text |