Extremal richness of multiplier and corona algebras of simple C*-algebras with real rank zero
| dc.creator | Perera, Francesc | |
| dc.date | 1999-06-26 | |
| dc.date.accessioned | 2026-07-07T05:29:40Z | |
| dc.date.available | 2026-07-07T05:29:40Z | |
| dc.description | In this paper we investigate the extremal richness of the multiplier algebra $M(A)$ and the corona algebra $M(A)/A$, for a simple C*-algebra $A$ with real rank zero and stable rank one. We show that the space of extremal quasitraces and the scale of $A$ contain enough information to determine whether $M(A)/A$ is extremally rich. In detail, if the scale is finite, then $M(A)/A$ is extremally rich. In important cases, and if the scale is not finite, extremal richness is characterized by a restrictive condition: the existence of only one infinite extremal quasitrace which is isolated in a convex sense. | |
| dc.description | 20 pages (revised 1999); to appear in Journal of Operator Theory | |
| dc.identifier | https://arxiv.org/abs/math/9906180 | |
| dc.identifier | http://arxiv.org/abs/math/9906180 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/78729 | |
| dc.subject | Operator Algebras | |
| dc.subject | 46L05; 46L80; 06F05 | |
| dc.title | Extremal richness of multiplier and corona algebras of simple C*-algebras with real rank zero | |
| dc.type | text |