dc.creator | Muro Jiménez, Fernando | es |
dc.creator | Tonks, Andrew | es |
dc.creator | Witte, Malte | es |
dc.date.accessioned | 2016-06-06T07:18:36Z | |
dc.date.available | 2016-06-06T07:18:36Z | |
dc.date.issued | 2015 | |
dc.identifier.citation | Muro Jiménez, F., Tonks, A. y Witte, M. (2015). On determinant functors and K-theory. Publicacions matemàtiques, 59 (1), 137-233. | |
dc.identifier.issn | 0214-1493 | es |
dc.identifier.issn | 2014-4350 | es |
dc.identifier.uri | http://hdl.handle.net/11441/41875 | |
dc.description.abstract | We extend Deligne’s notion of determinant functor to Waldhausen categories
and (strongly) triangulated categories. We construct explicit universal determinant functors in each case, whose target is an algebraic model for the 1-type of the corresponding K-theory spectrum. As applications, we answer open questions by Maltsiniotis and Neeman on the K-theory of (strongly) triangulated categories and a question of Grothendieck to Knudsen on determinant functors. We also prove additivity theorems for low-dimensional K-theory of (strongly) triangulated categories and obtain generators and (some) relations for various K1-groups. This is achieved
via a unified theory of determinant functors which can be applied in further contexts, such as derivators. | es |
dc.description.sponsorship | Ministerio de Economía y Competitividad | es |
dc.description.sponsorship | Generalitat de Catalunya | es |
dc.description.sponsorship | Junta de Andalucía. Consejería de Economía, Innovación y Ciencia | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Universitat Autònoma de Barcelona | es |
dc.relation.ispartof | Publicacions matemàtiques, 59 (1), 137-233. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Determinant functor | es |
dc.subject | K-theory | es |
dc.subject | exact category | es |
dc.subject | Waldhausen category | es |
dc.subject | triangulated category | es |
dc.subject | Grothendieck derivator | es |
dc.title | On determinant functors and K-theory | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/publishedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de álgebra | es |
dc.relation.projectID | info:eu-repo/grantAgreement/MINECO/MTM2010-15831 | es |
dc.relation.projectID | info:eu-repo/grantAgreement/MINECO/MTM2013- 42178-P | es |
dc.relation.projectID | SGR-119-2009 | es |
dc.relation.projectID | FQM-5713 | es |
dc.relation.publisherversion | http://dx.doi.org/10.5565/PUBLMAT_59115_07 | es |
dc.identifier.doi | 10.5565/PUBLMAT_59115_07 | es |
idus.format.extent | 97 p. | es |
dc.journaltitle | Publicacions matemàtiques | es |
dc.publication.volumen | 59 | es |
dc.publication.issue | 1 | es |
dc.publication.initialPage | 137 | es |
dc.publication.endPage | 233 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/41875 | |