Projective space of a C*-module
- Autores
- Andruchow, Esteban; Corach, Gustavo; Stojanoff, Demetrio
- Año de publicación
- 2011
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- 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) →P(X), where S_p(X)={x ∈ X : ⟨ x,x ⟩=p}, for p∈ 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.
Fil: Andruchow, Esteban. Universidad Nacional de General Sarmiento; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; Argentina
Fil: Corach, Gustavo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; Argentina. Universidad de Buenos Aires. Facultad de Ingeniería; Argentina
Fil: Stojanoff, Demetrio. Universidad Nacional de La Plata; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; Argentina - Materia
-
MODULO
PROJECTIVE
GEODESICS - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
- Repositorio
.jpg)
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/110303
Ver los metadatos del registro completo
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Projective space of a C*-moduleAndruchow, EstebanCorach, GustavoStojanoff, DemetrioMODULOPROJECTIVEGEODESICShttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1Let 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) →P(X), where S_p(X)={x ∈ X : ⟨ x,x ⟩=p}, for p∈ 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.Fil: Andruchow, Esteban. Universidad Nacional de General Sarmiento; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; ArgentinaFil: Corach, Gustavo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; Argentina. Universidad de Buenos Aires. Facultad de Ingeniería; ArgentinaFil: Stojanoff, Demetrio. Universidad Nacional de La Plata; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; ArgentinaWorld Scientific2011-11info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/110303Andruchow, Esteban; Corach, Gustavo; Stojanoff, Demetrio; Projective space of a C*-module; World Scientific; Infinite Dimensional Analysis, Quantum Probability And Related Topics; 04; 03; 11-2011; 289-3070219-0257CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://www.worldscientific.com/doi/abs/10.1142/S0219025701000516info:eu-repo/semantics/altIdentifier/doi/10.1142/S0219025701000516info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-10T13:15:01Zoai:ri.conicet.gov.ar:11336/110303instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-10 13:15:01.897CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse |
| dc.title.none.fl_str_mv |
Projective space of a C*-module |
| title |
Projective space of a C*-module |
| spellingShingle |
Projective space of a C*-module Andruchow, Esteban MODULO PROJECTIVE GEODESICS |
| title_short |
Projective space of a C*-module |
| title_full |
Projective space of a C*-module |
| title_fullStr |
Projective space of a C*-module |
| title_full_unstemmed |
Projective space of a C*-module |
| title_sort |
Projective space of a C*-module |
| dc.creator.none.fl_str_mv |
Andruchow, Esteban Corach, Gustavo Stojanoff, Demetrio |
| author |
Andruchow, Esteban |
| author_facet |
Andruchow, Esteban Corach, Gustavo Stojanoff, Demetrio |
| author_role |
author |
| author2 |
Corach, Gustavo Stojanoff, Demetrio |
| author2_role |
author author |
| dc.subject.none.fl_str_mv |
MODULO PROJECTIVE GEODESICS |
| topic |
MODULO PROJECTIVE GEODESICS |
| purl_subject.fl_str_mv |
https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| dc.description.none.fl_txt_mv |
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) →P(X), where S_p(X)={x ∈ X : ⟨ x,x ⟩=p}, for p∈ 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. Fil: Andruchow, Esteban. Universidad Nacional de General Sarmiento; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; Argentina Fil: Corach, Gustavo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; Argentina. Universidad de Buenos Aires. Facultad de Ingeniería; Argentina Fil: Stojanoff, Demetrio. Universidad Nacional de La Plata; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; Argentina |
| 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) →P(X), where S_p(X)={x ∈ X : ⟨ x,x ⟩=p}, for p∈ 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. |
| publishDate |
2011 |
| dc.date.none.fl_str_mv |
2011-11 |
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info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion http://purl.org/coar/resource_type/c_6501 info:ar-repo/semantics/articulo |
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article |
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publishedVersion |
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http://hdl.handle.net/11336/110303 Andruchow, Esteban; Corach, Gustavo; Stojanoff, Demetrio; Projective space of a C*-module; World Scientific; Infinite Dimensional Analysis, Quantum Probability And Related Topics; 04; 03; 11-2011; 289-307 0219-0257 CONICET Digital CONICET |
| url |
http://hdl.handle.net/11336/110303 |
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Andruchow, Esteban; Corach, Gustavo; Stojanoff, Demetrio; Projective space of a C*-module; World Scientific; Infinite Dimensional Analysis, Quantum Probability And Related Topics; 04; 03; 11-2011; 289-307 0219-0257 CONICET Digital CONICET |
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eng |
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eng |
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