Projective space of a C*-module
| dc.creator | Andruchow, E. | |
| dc.creator | Corach, G. | |
| dc.creator | Stojanoff, D. | |
| dc.date | 1999-11-20 | |
| dc.date.accessioned | 2026-07-07T05:31:43Z | |
| dc.date.available | 2026-07-07T05:31:43Z | |
| dc.description | Let X be a right Hilbert C*-module over A. We study the geometry and the topology of the projective space P(X) of X, consisting of the orthocomplemented submodules of X which are generated by a single element. We also study the geometry of the p-sphere S_p(X) and the natural fibration S_p(X) \to P(X), where S_p(X)={x\in X: <x,x>=p}, for p in A a projection. The projective space and the p-sphere are shown to be homogeneous differentiable spaces of the unitary group of the algebra L_A(X) of adjointable operators of X. The homotopy theory of these spaces is examined. | |
| dc.description | 22 pages, AMSTeX | |
| dc.identifier | https://arxiv.org/abs/math/9911155 | |
| dc.identifier | http://arxiv.org/abs/math/9911155 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/79447 | |
| dc.subject | Operator Algebras | |
| dc.subject | 46L05; 58B20 | |
| dc.title | Projective space of a C*-module | |
| dc.type | text |