An ultrapower construction of the multiplier algebra of a C*-algebra with an application to boundary amenability of groups

Autores
Poggi, Facundo Sebastian; Sasyk, Roman
Año de publicación
2019
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Using ultrapowers of C-algebras, we provide a new construction of the multiplier algebra of a C-algebra. This extends the work of Avsec and Goldbring [Houston J. Math., to appear, arXiv:1610.09276] to the setting ofnoncommutative and nonseparable C-algebras. We also extend their work to give a new proof of the fact that groups acting transitively on locally finite trees with boundary amenable stabilizers are boundary amenable.
Fil: Poggi, Facundo Sebastian. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Sasyk, Roman. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; Argentina
Materia
MULTIPLIER ALGEBRA
ULTRAPRODUCT OF C* ALGEBRAS
BOUNDARY AMENABLE GROUP
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:11336/106621
Acceder
id CONICETDig_c47853d1b539765da12e36d37b27e050
oai_identifier_str oai:ri.conicet.gov.ar:11336/106621
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling An ultrapower construction of the multiplier algebra of a C*-algebra with an application to boundary amenability of groupsPoggi, Facundo SebastianSasyk, RomanMULTIPLIER ALGEBRAULTRAPRODUCT OF C* ALGEBRASBOUNDARY AMENABLE GROUPhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1Using ultrapowers of C-algebras, we provide a new construction of the multiplier algebra of a C-algebra. This extends the work of Avsec and Goldbring [Houston J. Math., to appear, arXiv:1610.09276] to the setting ofnoncommutative and nonseparable C-algebras. We also extend their work to give a new proof of the fact that groups acting transitively on locally finite trees with boundary amenable stabilizers are boundary amenable.Fil: Poggi, Facundo Sebastian. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Sasyk, Roman. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; ArgentinaMashhad Tusi Mathematical Research Group2019-05info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/106621Poggi, Facundo Sebastian; Sasyk, Roman; An ultrapower construction of the multiplier algebra of a C*-algebra with an application to boundary amenability of groups; Mashhad Tusi Mathematical Research Group; Advances in Operator Theory; 4; 4; 5-2019; 852-8642538-225XCONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.15352/aot.1904-1501info:eu-repo/semantics/altIdentifier/url/https://projecteuclid.org/euclid.aot/1557885618info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-11-05T09:58:03Zoai:ri.conicet.gov.ar:11336/106621instacron: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:34982025-11-05 09:58:04.069CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv An ultrapower construction of the multiplier algebra of a C*-algebra with an application to boundary amenability of groups
title An ultrapower construction of the multiplier algebra of a C*-algebra with an application to boundary amenability of groups
spellingShingle An ultrapower construction of the multiplier algebra of a C*-algebra with an application to boundary amenability of groups
Poggi, Facundo Sebastian
MULTIPLIER ALGEBRA
ULTRAPRODUCT OF C* ALGEBRAS
BOUNDARY AMENABLE GROUP
title_short An ultrapower construction of the multiplier algebra of a C*-algebra with an application to boundary amenability of groups
title_full An ultrapower construction of the multiplier algebra of a C*-algebra with an application to boundary amenability of groups
title_fullStr An ultrapower construction of the multiplier algebra of a C*-algebra with an application to boundary amenability of groups
title_full_unstemmed An ultrapower construction of the multiplier algebra of a C*-algebra with an application to boundary amenability of groups
title_sort An ultrapower construction of the multiplier algebra of a C*-algebra with an application to boundary amenability of groups
dc.creator.none.fl_str_mv Poggi, Facundo Sebastian
Sasyk, Roman
author Poggi, Facundo Sebastian
author_facet Poggi, Facundo Sebastian
Sasyk, Roman
author_role author
author2 Sasyk, Roman
author2_role author
dc.subject.none.fl_str_mv MULTIPLIER ALGEBRA
ULTRAPRODUCT OF C* ALGEBRAS
BOUNDARY AMENABLE GROUP
topic MULTIPLIER ALGEBRA
ULTRAPRODUCT OF C* ALGEBRAS
BOUNDARY AMENABLE GROUP
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv Using ultrapowers of C-algebras, we provide a new construction of the multiplier algebra of a C-algebra. This extends the work of Avsec and Goldbring [Houston J. Math., to appear, arXiv:1610.09276] to the setting ofnoncommutative and nonseparable C-algebras. We also extend their work to give a new proof of the fact that groups acting transitively on locally finite trees with boundary amenable stabilizers are boundary amenable.
Fil: Poggi, Facundo Sebastian. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Sasyk, Roman. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; Argentina
description Using ultrapowers of C-algebras, we provide a new construction of the multiplier algebra of a C-algebra. This extends the work of Avsec and Goldbring [Houston J. Math., to appear, arXiv:1610.09276] to the setting ofnoncommutative and nonseparable C-algebras. We also extend their work to give a new proof of the fact that groups acting transitively on locally finite trees with boundary amenable stabilizers are boundary amenable.
publishDate 2019
dc.date.none.fl_str_mv 2019-05
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/11336/106621
Poggi, Facundo Sebastian; Sasyk, Roman; An ultrapower construction of the multiplier algebra of a C*-algebra with an application to boundary amenability of groups; Mashhad Tusi Mathematical Research Group; Advances in Operator Theory; 4; 4; 5-2019; 852-864
2538-225X
CONICET Digital
CONICET
url http://hdl.handle.net/11336/106621
identifier_str_mv Poggi, Facundo Sebastian; Sasyk, Roman; An ultrapower construction of the multiplier algebra of a C*-algebra with an application to boundary amenability of groups; Mashhad Tusi Mathematical Research Group; Advances in Operator Theory; 4; 4; 5-2019; 852-864
2538-225X
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.15352/aot.1904-1501
info:eu-repo/semantics/altIdentifier/url/https://projecteuclid.org/euclid.aot/1557885618
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
dc.publisher.none.fl_str_mv Mashhad Tusi Mathematical Research Group
publisher.none.fl_str_mv Mashhad Tusi Mathematical Research Group
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
_version_ 1847977385572433920
score 13.087074

Publicaciones similares