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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De Gruyter
2025
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Acceso en línea: | http://repositorio.ungs.edu.ar:8080/xmlui/handle/UNGS/1857 |
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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 |
_version_ |
1824528622293090304 |