Homotopy invariance through small stabilizations
- Autores
- Cortiñas, Guillermo Horacio; Abadie, Beatriz
- Año de publicación
- 2013
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- We associate an algebra Γ∞(A) to each bornological algebra A . Each symmetric ideal SS of the algebra ℓ∞ of complex bounded sequences gives rise to an ideal IS(A) of Γ∞(A) . We show that all ideals arise in this way when AA is the algebra of complex numbers. We prove that for suitable S , Weibel’s K -theory of IS(A) is homotopy invariant, and show that the failure of the map from Quillen’s to Weibel’s K -theory of IS(A) to be an isomorphism is measured by cyclic homology.
Fil: Cortiñas, Guillermo Horacio. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "luis A. Santaló"; Argentina. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina
Fil: Abadie, Beatriz. Universidad de la República; Uruguay - Materia
-
Homotopy Invariance
Calkin'S Theorem
Operator Ideals
Inverse Semigroup Crossed Products - 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:11336/14843
Ver los metadatos del registro completo
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Homotopy invariance through small stabilizationsCortiñas, Guillermo HoracioAbadie, BeatrizHomotopy InvarianceCalkin'S TheoremOperator IdealsInverse Semigroup Crossed Productshttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We associate an algebra Γ∞(A) to each bornological algebra A . Each symmetric ideal SS of the algebra ℓ∞ of complex bounded sequences gives rise to an ideal IS(A) of Γ∞(A) . We show that all ideals arise in this way when AA is the algebra of complex numbers. We prove that for suitable S , Weibel’s K -theory of IS(A) is homotopy invariant, and show that the failure of the map from Quillen’s to Weibel’s K -theory of IS(A) to be an isomorphism is measured by cyclic homology.Fil: Cortiñas, Guillermo Horacio. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "luis A. Santaló"; Argentina. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; ArgentinaFil: Abadie, Beatriz. Universidad de la República; UruguaySpringer2013-12info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/14843Cortiñas, Guillermo Horacio; Abadie, Beatriz; Homotopy invariance through small stabilizations; Springer; Journal of homotopy and related structures; 10; 3; 12-2013; 459–4932193-84071512-2891enginfo:eu-repo/semantics/altIdentifier/url/http://link.springer.com/article/10.1007/s40062-013-0069-9info:eu-repo/semantics/altIdentifier/url/http://dx.doi.org/10.1007/s40062-013-0069-9info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-10T13:17:58Zoai:ri.conicet.gov.ar:11336/14843instacron: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 13:17:58.526CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse |
| dc.title.none.fl_str_mv |
Homotopy invariance through small stabilizations |
| title |
Homotopy invariance through small stabilizations |
| spellingShingle |
Homotopy invariance through small stabilizations Cortiñas, Guillermo Horacio Homotopy Invariance Calkin'S Theorem Operator Ideals Inverse Semigroup Crossed Products |
| title_short |
Homotopy invariance through small stabilizations |
| title_full |
Homotopy invariance through small stabilizations |
| title_fullStr |
Homotopy invariance through small stabilizations |
| title_full_unstemmed |
Homotopy invariance through small stabilizations |
| title_sort |
Homotopy invariance through small stabilizations |
| dc.creator.none.fl_str_mv |
Cortiñas, Guillermo Horacio Abadie, Beatriz |
| author |
Cortiñas, Guillermo Horacio |
| author_facet |
Cortiñas, Guillermo Horacio Abadie, Beatriz |
| author_role |
author |
| author2 |
Abadie, Beatriz |
| author2_role |
author |
| dc.subject.none.fl_str_mv |
Homotopy Invariance Calkin'S Theorem Operator Ideals Inverse Semigroup Crossed Products |
| topic |
Homotopy Invariance Calkin'S Theorem Operator Ideals Inverse Semigroup Crossed Products |
| purl_subject.fl_str_mv |
https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| dc.description.none.fl_txt_mv |
We associate an algebra Γ∞(A) to each bornological algebra A . Each symmetric ideal SS of the algebra ℓ∞ of complex bounded sequences gives rise to an ideal IS(A) of Γ∞(A) . We show that all ideals arise in this way when AA is the algebra of complex numbers. We prove that for suitable S , Weibel’s K -theory of IS(A) is homotopy invariant, and show that the failure of the map from Quillen’s to Weibel’s K -theory of IS(A) to be an isomorphism is measured by cyclic homology. Fil: Cortiñas, Guillermo Horacio. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "luis A. Santaló"; Argentina. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina Fil: Abadie, Beatriz. Universidad de la República; Uruguay |
| description |
We associate an algebra Γ∞(A) to each bornological algebra A . Each symmetric ideal SS of the algebra ℓ∞ of complex bounded sequences gives rise to an ideal IS(A) of Γ∞(A) . We show that all ideals arise in this way when AA is the algebra of complex numbers. We prove that for suitable S , Weibel’s K -theory of IS(A) is homotopy invariant, and show that the failure of the map from Quillen’s to Weibel’s K -theory of IS(A) to be an isomorphism is measured by cyclic homology. |
| publishDate |
2013 |
| dc.date.none.fl_str_mv |
2013-12 |
| dc.type.none.fl_str_mv |
info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion http://purl.org/coar/resource_type/c_6501 info:ar-repo/semantics/articulo |
| format |
article |
| status_str |
publishedVersion |
| dc.identifier.none.fl_str_mv |
http://hdl.handle.net/11336/14843 Cortiñas, Guillermo Horacio; Abadie, Beatriz; Homotopy invariance through small stabilizations; Springer; Journal of homotopy and related structures; 10; 3; 12-2013; 459–493 2193-8407 1512-2891 |
| url |
http://hdl.handle.net/11336/14843 |
| identifier_str_mv |
Cortiñas, Guillermo Horacio; Abadie, Beatriz; Homotopy invariance through small stabilizations; Springer; Journal of homotopy and related structures; 10; 3; 12-2013; 459–493 2193-8407 1512-2891 |
| dc.language.none.fl_str_mv |
eng |
| language |
eng |
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info:eu-repo/semantics/altIdentifier/url/http://link.springer.com/article/10.1007/s40062-013-0069-9 info:eu-repo/semantics/altIdentifier/url/http://dx.doi.org/10.1007/s40062-013-0069-9 |
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info:eu-repo/semantics/openAccess https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ |
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openAccess |
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https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ |
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application/pdf application/pdf application/pdf application/pdf |
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Springer |
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Springer |
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CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas |
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