Comparison between algebraic and topological K-theory of locally convex algebras

Autores
Cortiñas, Guillermo Horacio; Thom, Andreas
Año de publicación
2008
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
This paper is concerned with the algebraic K-theory of locally convex C-algebras stabilized by operator ideals, and its comparison with topological K-theory. We show that if L is locally convex and J a Fréchet operator ideal, then all the different variants of topological K-theory agree on the completed projective tensor product , and that the obstruction for the comparison map to be an isomorphism is (absolute) algebraic 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". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina
Fil: Thom, Andreas. Universität Göttingen; Alemania
Materia
Algebraic and topological K-theory
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/282421
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Comparison between algebraic and topological K-theory of locally convex algebrasCortiñas, Guillermo HoracioThom, AndreasAlgebraic and topological K-theoryhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1This paper is concerned with the algebraic K-theory of locally convex C-algebras stabilized by operator ideals, and its comparison with topological K-theory. We show that if L is locally convex and J a Fréchet operator ideal, then all the different variants of topological K-theory agree on the completed projective tensor product , and that the obstruction for the comparison map to be an isomorphism is (absolute) algebraic 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". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; ArgentinaFil: Thom, Andreas. Universität Göttingen; AlemaniaAcademic Press Inc Elsevier Science2008-12info: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/11336/282421Cortiñas, Guillermo Horacio; Thom, Andreas; Comparison between algebraic and topological K-theory of locally convex algebras; Academic Press Inc Elsevier Science; Advances in Mathematics; 218; 1; 12-2008; 266-3070001-8708CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0001870807003520info:eu-repo/semantics/altIdentifier/doi/10.1016/j.aim.2007.12.007info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2026-03-31T15:01:55Zoai:ri.conicet.gov.ar:11336/282421instacron: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:34982026-03-31 15:01:55.896CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Comparison between algebraic and topological K-theory of locally convex algebras
title Comparison between algebraic and topological K-theory of locally convex algebras
spellingShingle Comparison between algebraic and topological K-theory of locally convex algebras
Cortiñas, Guillermo Horacio
Algebraic and topological K-theory
title_short Comparison between algebraic and topological K-theory of locally convex algebras
title_full Comparison between algebraic and topological K-theory of locally convex algebras
title_fullStr Comparison between algebraic and topological K-theory of locally convex algebras
title_full_unstemmed Comparison between algebraic and topological K-theory of locally convex algebras
title_sort Comparison between algebraic and topological K-theory of locally convex algebras
dc.creator.none.fl_str_mv Cortiñas, Guillermo Horacio
Thom, Andreas
author Cortiñas, Guillermo Horacio
author_facet Cortiñas, Guillermo Horacio
Thom, Andreas
author_role author
author2 Thom, Andreas
author2_role author
dc.subject.none.fl_str_mv Algebraic and topological K-theory
topic Algebraic and topological K-theory
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv This paper is concerned with the algebraic K-theory of locally convex C-algebras stabilized by operator ideals, and its comparison with topological K-theory. We show that if L is locally convex and J a Fréchet operator ideal, then all the different variants of topological K-theory agree on the completed projective tensor product , and that the obstruction for the comparison map to be an isomorphism is (absolute) algebraic 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". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina
Fil: Thom, Andreas. Universität Göttingen; Alemania
description This paper is concerned with the algebraic K-theory of locally convex C-algebras stabilized by operator ideals, and its comparison with topological K-theory. We show that if L is locally convex and J a Fréchet operator ideal, then all the different variants of topological K-theory agree on the completed projective tensor product , and that the obstruction for the comparison map to be an isomorphism is (absolute) algebraic cyclic homology.
publishDate 2008
dc.date.none.fl_str_mv 2008-12
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/11336/282421
Cortiñas, Guillermo Horacio; Thom, Andreas; Comparison between algebraic and topological K-theory of locally convex algebras; Academic Press Inc Elsevier Science; Advances in Mathematics; 218; 1; 12-2008; 266-307
0001-8708
CONICET Digital
CONICET
url http://hdl.handle.net/11336/282421
identifier_str_mv Cortiñas, Guillermo Horacio; Thom, Andreas; Comparison between algebraic and topological K-theory of locally convex algebras; Academic Press Inc Elsevier Science; Advances in Mathematics; 218; 1; 12-2008; 266-307
0001-8708
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0001870807003520
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.aim.2007.12.007
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv Academic Press Inc Elsevier Science
publisher.none.fl_str_mv Academic Press Inc Elsevier Science
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 12.822162

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