Real rank zero algebras have the corona factorization property

The purpose of this short note is to prove that a stable separable C*-algebra with real rank zero has the so-called corona factorization property, that is, all the full multiplier projections are properly in finite. Enroute to our result, we consider conditions under which a real rank zero C*-algebr...

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Detalles Bibliográficos
Autores: Kucerovsky, Dan, Perera Domènech, Francesc|||0000-0002-4669-4736
Tipo de recurso: artículo
Fecha de publicación:2006
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:44021
Acceso en línea:https://ddd.uab.cat/record/44021
Access Level:acceso abierto
Palabra clave:C*-àlgebres
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spelling Real rank zero algebras have the corona factorization propertyKucerovsky, DanPerera Domènech, Francesc|||0000-0002-4669-4736C*-àlgebresThe purpose of this short note is to prove that a stable separable C*-algebra with real rank zero has the so-called corona factorization property, that is, all the full multiplier projections are properly in finite. Enroute to our result, we consider conditions under which a real rank zero C*-algebra admits an injection of the compact operators (a question already considered in [21]).Centre de Recerca MatemàticaCentre de Recerca Matemàtica 22006-01-0120062006-01-01Articlehttp://purl.org/coar/resource_type/c_6501AOhttp://purl.org/coar/version/c_b1a7d7d4d402bcceinfo:eu-repo/semantics/articleapplication/pdfhttps://ddd.uab.cat/record/44021reponame:Dipòsit Digital de Documents de la UABinstname:Universitat Autònoma de BarcelonaInglésengopen accesshttp://purl.org/coar/access_right/c_abf2Aquest document està subjecte a una llicència d'ús Creative Commons. Es permet la reproducció total o parcial, la distribució, i la comunicació pública de l'obra, sempre que no sigui amb finalitats comercials, i sempre que es reconegui l'autoria de l'obra original. No es permet la creació d'obres derivades.https://creativecommons.org/licenses/by-nc-nd/2.5/info:eu-repo/semantics/openAccessoai:ddd.uab.cat:440212026-06-06T12:50:31Z
dc.title.none.fl_str_mv Real rank zero algebras have the corona factorization property
title Real rank zero algebras have the corona factorization property
spellingShingle Real rank zero algebras have the corona factorization property
Kucerovsky, Dan
C*-àlgebres
title_short Real rank zero algebras have the corona factorization property
title_full Real rank zero algebras have the corona factorization property
title_fullStr Real rank zero algebras have the corona factorization property
title_full_unstemmed Real rank zero algebras have the corona factorization property
title_sort Real rank zero algebras have the corona factorization property
dc.creator.none.fl_str_mv Kucerovsky, Dan
Perera Domènech, Francesc|||0000-0002-4669-4736
author Kucerovsky, Dan
author_facet Kucerovsky, Dan
Perera Domènech, Francesc|||0000-0002-4669-4736
author_role author
author2 Perera Domènech, Francesc|||0000-0002-4669-4736
author2_role author
dc.contributor.none.fl_str_mv Centre de Recerca Matemàtica
dc.subject.none.fl_str_mv C*-àlgebres
topic C*-àlgebres
description The purpose of this short note is to prove that a stable separable C*-algebra with real rank zero has the so-called corona factorization property, that is, all the full multiplier projections are properly in finite. Enroute to our result, we consider conditions under which a real rank zero C*-algebra admits an injection of the compact operators (a question already considered in [21]).
publishDate 2006
dc.date.none.fl_str_mv 2
2006-01-01
2006
2006-01-01
dc.type.none.fl_str_mv Article
http://purl.org/coar/resource_type/c_6501
AO
http://purl.org/coar/version/c_b1a7d7d4d402bcce
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://ddd.uab.cat/record/44021
url https://ddd.uab.cat/record/44021
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://creativecommons.org/licenses/by-nc-nd/2.5/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://creativecommons.org/licenses/by-nc-nd/2.5/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Centre de Recerca Matemàtica
publisher.none.fl_str_mv Centre de Recerca Matemàtica
dc.source.none.fl_str_mv reponame:Dipòsit Digital de Documents de la UAB
instname:Universitat Autònoma de Barcelona
instname_str Universitat Autònoma de Barcelona
reponame_str Dipòsit Digital de Documents de la UAB
collection Dipòsit Digital de Documents de la UAB
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