dc.creator | Flores Díaz, Ramón Jesús | es |
dc.creator | Pooya, Sanaz | es |
dc.creator | Valette, Alain | es |
dc.date.accessioned | 2017-09-05T07:39:47Z | |
dc.date.available | 2017-09-05T07:39:47Z | |
dc.date.issued | 2017-08 | |
dc.identifier.citation | Flores Díaz, R.J., Pooya, S. y Valette, A. (2017). K-homology and K-theory for the lamplighter groups of finite groups. Proceedings of the London Mathematical Society | |
dc.identifier.issn | 0024-6115 | es |
dc.identifier.issn | 1460-244X | es |
dc.identifier.uri | http://hdl.handle.net/11441/64166 | |
dc.description.abstract | Let F be a finite group. We consider the lamplighter group L = F ≀ Z over F. We prove that L has a classifying space for proper actions EL which is a complex of dimension 2.We use this to give an explicit proof of the Baum–Connes conjecture (without coefficients) that states that theassembly map µLi: KLi(E L) → Ki(C∗L)(i =0, 1) is an isomorphism. Actually, K0(C∗L) is free abelian of countable rank, with an explicit basis consisting of projections in C∗L, while K1(C∗L) is infinite cyclic, generated by the unitary of C∗L implementing t he shift. Finally we show that,for F abelian, the C∗-algebra C∗L is completely characterized by |F | up to isomorphism. | es |
dc.description.sponsorship | Ministerio de Ciencia e Innovación | es |
dc.description.sponsorship | National Science Foundation | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | London Mathematical Society | es |
dc.relation.ispartof | Proceedings of the London Mathematical Society | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | K-theory | es |
dc.subject | C ∗ -algebra | es |
dc.subject | Proper actions | es |
dc.subject | Baum-Connes conjecture | es |
dc.title | K-homology and K-theory for the lamplighter groups of finite groups | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/submittedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Geometría y Topología | es |
dc.relation.projectID | MTM2010-20692 | es |
dc.relation.projectID | DMS-1440140 | es |
dc.relation.publisherversion | http://onlinelibrary.wiley.com/doi/10.1112/plms.12061/epdf | es |
dc.identifier.doi | 10.1112/plms.12061 | es |
dc.contributor.group | Universidad de Sevilla. FQM218: Singularidades, Geometría Algebraica Aritmética, Grupos y Homotopía | es |
idus.format.extent | 32 p. | es |
dc.journaltitle | Proceedings of the London Mathematical Society | es |
dc.contributor.funder | Ministerio de Ciencia e Innovación (MICIN). España | |
dc.contributor.funder | National Science Foundation (NSF). United States | |