Projective spaces of a C*-algebra
| dc.creator | Andruchow, E. | |
| dc.creator | Corach, G. | |
| dc.creator | Stojanoff, D. | |
| dc.date | 1999-11-18 | |
| dc.date.accessioned | 2026-07-07T05:31:41Z | |
| dc.date.available | 2026-07-07T05:31:41Z | |
| dc.description | Based on the projective matrix spaces studied by B. Schwarz and A. Zaks, we study the notion of projective space associated to a C*-algebra A with a fixed projection p. The resulting space P(p) admits a rich geometrical structure as a holomorphic manifold and a homogeneous reductive space of the invertible group of A. Moreover, several metrics (chordal, spherical, pseudo-chordal, non-Euclidean - in Schwarz-Zaks terminology) are considered, allowing a comparison among P(p), the Grassmann manifold of A and the space of positive elements which are unitary with respect to the bilinear form induced by the reflection e = 2p-1. Among several metrical results, we prove that geodesics are unique and of minimal length when measured with the spherical and non-Euclidean metrics. | |
| dc.description | 26 pages, Latex | |
| dc.identifier | https://arxiv.org/abs/math/9911142 | |
| dc.identifier | http://arxiv.org/abs/math/9911142 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/79435 | |
| dc.subject | Operator Algebras | |
| dc.subject | 46L05; 58B20 | |
| dc.title | Projective spaces of a C*-algebra | |
| dc.type | text |