Graded homotopy classification of Leavitt path algebras over finite primitive graphs

Autores
Arnone, Guido
Año de publicación
2025
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We show that the graded Grothendieck group classifies unital Leavitt path algebras of primitive graphs up to graded homotopy equivalence. To this end, we further develop classification techniques for Leavitt path algebras by means of (graded, bivariant) algebraic K-theory.
Fil: Arnone, Guido. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 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
Materia
Leavitt path algebras
Graded K-theory
Hazrat’s conjectures
Bivariant K-theory
Algebraic homotopy
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/265165
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Graded homotopy classification of Leavitt path algebras over finite primitive graphsArnone, GuidoLeavitt path algebrasGraded K-theoryHazrat’s conjecturesBivariant K-theoryAlgebraic homotopyhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We show that the graded Grothendieck group classifies unital Leavitt path algebras of primitive graphs up to graded homotopy equivalence. To this end, we further develop classification techniques for Leavitt path algebras by means of (graded, bivariant) algebraic K-theory.Fil: Arnone, Guido. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 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"; ArgentinaUniversidad Autónoma de Madrid2025-01info: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/11336/265165Arnone, Guido; Graded homotopy classification of Leavitt path algebras over finite primitive graphs; Universidad Autónoma de Madrid; Revista Matematica Iberoamericana; 3; 1-2025; 913-9520213-2230CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://ems.press/journals/rmi/articles/14298492info:eu-repo/semantics/altIdentifier/doi/10.4171/rmi/1515info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-17T11:41:42Zoai:ri.conicet.gov.ar:11336/265165instacron: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:34982025-09-17 11:41:43.049CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Graded homotopy classification of Leavitt path algebras over finite primitive graphs
title Graded homotopy classification of Leavitt path algebras over finite primitive graphs
spellingShingle Graded homotopy classification of Leavitt path algebras over finite primitive graphs
Arnone, Guido
Leavitt path algebras
Graded K-theory
Hazrat’s conjectures
Bivariant K-theory
Algebraic homotopy
title_short Graded homotopy classification of Leavitt path algebras over finite primitive graphs
title_full Graded homotopy classification of Leavitt path algebras over finite primitive graphs
title_fullStr Graded homotopy classification of Leavitt path algebras over finite primitive graphs
title_full_unstemmed Graded homotopy classification of Leavitt path algebras over finite primitive graphs
title_sort Graded homotopy classification of Leavitt path algebras over finite primitive graphs
dc.creator.none.fl_str_mv Arnone, Guido
author Arnone, Guido
author_facet Arnone, Guido
author_role author
dc.subject.none.fl_str_mv Leavitt path algebras
Graded K-theory
Hazrat’s conjectures
Bivariant K-theory
Algebraic homotopy
topic Leavitt path algebras
Graded K-theory
Hazrat’s conjectures
Bivariant K-theory
Algebraic homotopy
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 show that the graded Grothendieck group classifies unital Leavitt path algebras of primitive graphs up to graded homotopy equivalence. To this end, we further develop classification techniques for Leavitt path algebras by means of (graded, bivariant) algebraic K-theory.
Fil: Arnone, Guido. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 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
description We show that the graded Grothendieck group classifies unital Leavitt path algebras of primitive graphs up to graded homotopy equivalence. To this end, we further develop classification techniques for Leavitt path algebras by means of (graded, bivariant) algebraic K-theory.
publishDate 2025
dc.date.none.fl_str_mv 2025-01
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/11336/265165
Arnone, Guido; Graded homotopy classification of Leavitt path algebras over finite primitive graphs; Universidad Autónoma de Madrid; Revista Matematica Iberoamericana; 3; 1-2025; 913-952
0213-2230
CONICET Digital
CONICET
url http://hdl.handle.net/11336/265165
identifier_str_mv Arnone, Guido; Graded homotopy classification of Leavitt path algebras over finite primitive graphs; Universidad Autónoma de Madrid; Revista Matematica Iberoamericana; 3; 1-2025; 913-952
0213-2230
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://ems.press/journals/rmi/articles/14298492
info:eu-repo/semantics/altIdentifier/doi/10.4171/rmi/1515
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv Universidad Autónoma de Madrid
publisher.none.fl_str_mv Universidad Autónoma de Madrid
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_ 1843606769794809856
score 13.000565

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