Projective spaces of a <i>C*</i>-algebra

Based on the projective matrix spaces studied by B. Schwarz and A. Zaks, we study the notion of projective space associated to a C*-algebraA with a fixed projectionp. The resulting spaceP(p) admits a rich geometrical structure as a holomorphic manifold and a homogeneous reductive space of the invert...

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Detalles Bibliográficos
Autores principales: Andruchow, Esteban, Corach, Gustavo, Stojanoff, Demetrio
Formato: Articulo
Lenguaje:Inglés
Publicado: 2000
Materias:
Matemática
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/137455
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-137455
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Matemática
spellingShingle Matemática
Andruchow, Esteban
Corach, Gustavo
Stojanoff, Demetrio
Projective spaces of a <i>C*</i>-algebra
topic_facet Matemática
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*-algebraA with a fixed projectionp. The resulting spaceP(p) admits a rich geometrical structure as a holomorphic manifold and a homogeneous reductive space of the invertible group ofA. Moreover, several metrics (chordal, spherical, pseudo-chordal, non-Euclidean-in Schwarz-Zaks terminology) are considered, allowing a comparison amongP(p), the Grassmann manifold ofA 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.
format Articulo
Articulo
author Andruchow, Esteban
Corach, Gustavo
Stojanoff, Demetrio
author_facet Andruchow, Esteban
Corach, Gustavo
Stojanoff, Demetrio
author_sort Andruchow, Esteban
title Projective spaces of a <i>C*</i>-algebra
title_short Projective spaces of a <i>C*</i>-algebra
title_full Projective spaces of a <i>C*</i>-algebra
title_fullStr Projective spaces of a <i>C*</i>-algebra
title_full_unstemmed Projective spaces of a <i>C*</i>-algebra
title_sort projective spaces of a <i>c*</i>-algebra
publishDate 2000
url http://sedici.unlp.edu.ar/handle/10915/137455
work_keys_str_mv AT andruchowesteban projectivespacesofaicialgebra
AT corachgustavo projectivespacesofaicialgebra
AT stojanoffdemetrio projectivespacesofaicialgebra
bdutipo_str Repositorios
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