Sphere and projective space of a C*-algebra with a faithful state

Fil: Antúnez, Andrea Carolina. Universidad Nacional de General Sarmiento. Instituto de Ciencias; Argentina.

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Autor principal: Antúnez, Andrea Carolina
Formato: Artículo publishedVersion
Lenguaje:Inglés
Publicado: De Gruyter 2025
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Acceso en línea:http://repositorio.ungs.edu.ar:8080/xmlui/handle/UNGS/1857
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record_format dspace
spelling I71-R177-UNGS-18572025-01-08T16:27:38Z Sphere and projective space of a C*-algebra with a faithful state Antúnez, Andrea Carolina Homogeneous space Minimal curves C*-algebra Projective space Espacio homogéneo Curvas mínimas C*-álgebra Espacio proyectivoEspaço homogêneo Curvas mínimas Álgebra C* Espaço projetivo Fil: Antúnez, Andrea Carolina. Universidad Nacional de General Sarmiento. Instituto de Ciencias; Argentina. LetAbe a unitalC*-algebra with a faithful state?. We study the geometry of the unit sphereS?={x?A:?(x*x) = 1}and the projective spaceP?=S?/T. These spaces are shown to be smooth manifoldsand homogeneous spaces of the groupU?(A)of isomorphisms acting inAwhich preserve the inner productinduced by?, which is a smooth Banach-Lie group. An important role is played by the theory of operators inBanach spaces with two norms, as developed by M.G. Krein and P. Lax. We define a metric inP?, and provethe existence of minimal geodesics, both with given initial data, and given endpoints. 2025-01-08T16:25:51Z 2025-01-08T16:25:51Z 2019 info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion Antunez, A. C. (2019). Sphere and projective space of a C*-algebra with a faithful state. Demonstratio Mathematica, 52(1), 410-427. 2391-4661 http://repositorio.ungs.edu.ar:8080/xmlui/handle/UNGS/1857 eng https://doi.org/10.1515/dema-2019-0036 info:eu-repo/semantics/openAccess https://creativecommons.org/licenses/by-nc-nd/4.0/ application/pdf application/pdf De Gruyter Demonstratio Mathematica. 2019; 52(1): 410-427 https://www.degruyter.com/journal/key/dema/52/1/html
institution Universidad Nacional de General Sarmiento
institution_str I-71
repository_str R-177
collection Repositorio Institucional Digital de Acceso Abierto (UNGS)
language Inglés
orig_language_str_mv eng
topic Homogeneous space
Minimal curves
C*-algebra
Projective space
Espacio homogéneo
Curvas mínimas
C*-álgebra
Espacio proyectivoEspaço homogêneo
Curvas mínimas
Álgebra C*
Espaço projetivo
spellingShingle Homogeneous space
Minimal curves
C*-algebra
Projective space
Espacio homogéneo
Curvas mínimas
C*-álgebra
Espacio proyectivoEspaço homogêneo
Curvas mínimas
Álgebra C*
Espaço projetivo
Antúnez, Andrea Carolina
Sphere and projective space of a C*-algebra with a faithful state
topic_facet Homogeneous space
Minimal curves
C*-algebra
Projective space
Espacio homogéneo
Curvas mínimas
C*-álgebra
Espacio proyectivoEspaço homogêneo
Curvas mínimas
Álgebra C*
Espaço projetivo
description Fil: Antúnez, Andrea Carolina. Universidad Nacional de General Sarmiento. Instituto de Ciencias; Argentina.
format Artículo
Artículo
publishedVersion
author Antúnez, Andrea Carolina
author_facet Antúnez, Andrea Carolina
author_sort Antúnez, Andrea Carolina
title Sphere and projective space of a C*-algebra with a faithful state
title_short Sphere and projective space of a C*-algebra with a faithful state
title_full Sphere and projective space of a C*-algebra with a faithful state
title_fullStr Sphere and projective space of a C*-algebra with a faithful state
title_full_unstemmed Sphere and projective space of a C*-algebra with a faithful state
title_sort sphere and projective space of a c*-algebra with a faithful state
publisher De Gruyter
publishDate 2025
url http://repositorio.ungs.edu.ar:8080/xmlui/handle/UNGS/1857
work_keys_str_mv AT antunezandreacarolina sphereandprojectivespaceofacalgebrawithafaithfulstate
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