The algebraic entropies of the Leavitt path algebra and the graph algebra agree.

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dc.contributor.authorMartín-Barquero, Dolores
dc.contributor.authorBock, Wolfgang
dc.contributor.authorRuiz Campos, Iván
dc.contributor.authorGil-Canto, Cristóbal
dc.contributor.authorMartín-González, Cándido
dc.contributor.authorSebandal, Alfilgen
dc.date.accessioned2025-03-20T07:51:26Z
dc.date.available2025-03-20T07:51:26Z
dc.date.issued2024-10-24
dc.departamentoMatemática Aplicadaes_ES
dc.description.abstractIn this note we prove that the algebras L_K(E) and KE have the same entropy. Entropy is always referred to the standard filtrations in the corresponding kind of algebra. The main argument leans on (1) the holomorphic functional calculus; (2) the relation of entropy with suitable norm of the adjacency matrix; and (3) the Cohn path algebras which yield suitable bounds for the algebraic entropies.es_ES
dc.description.sponsorshipPID2023-152673NB-I00 FQM-336es_ES
dc.identifier.citationWolfgang Bock, Cristóbal Gil Canto, Dolores Martín Barquero, Cándido Martín González, Iván Ruiz Campos y Alfilgen Sebandal. The algebraic entropies of the Leavitt path algebra and the graph algebra agree. Results in Mathematics, 79:266 (2024).es_ES
dc.identifier.doi10.1007/s00025-024-02289-y
dc.identifier.urihttps://hdl.handle.net/10630/38173
dc.language.isoenges_ES
dc.publisherSpringer Naturees_ES
dc.rightsAttribution 4.0 Internacional*
dc.rights.accessRightsopen accesses_ES
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/*
dc.subjectEntropíaes_ES
dc.subjectÁlgebra abstractaes_ES
dc.subjectTeoría de grafoses_ES
dc.subject.otherGraph algebraes_ES
dc.subject.otherPath algebraes_ES
dc.subject.otherLeavitt path algebraes_ES
dc.subject.otherGelfand-Kirillov dimensiones_ES
dc.subject.otherAlgebraic entropyes_ES
dc.titleThe algebraic entropies of the Leavitt path algebra and the graph algebra agree.es_ES
dc.typejournal articlees_ES
dc.type.hasVersionVoRes_ES
dspace.entity.typePublication
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relation.isAuthorOfPublication.latestForDiscoverye714bba7-73e7-4248-80f3-4eb6eb6179ab

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