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A¹-homotopy invariants of corner skew Laurent polynomial algebras

dc.contributor.authorTrigo Neri Tabuada, Goncalo Jorge
dc.date.accessioned2018-06-19T18:24:13Z
dc.date.available2018-06-19T18:24:13Z
dc.date.issued2017-12
dc.identifier.issn1661-6952
dc.identifier.urihttp://hdl.handle.net/1721.1/116424
dc.description.abstractIn this note we prove some structural properties of all the A1-homotopy invariants of corner skew Laurent polynomial algebras. As an application, we compute the mod-l algebraic K-theory of Leavitt path algebras using solely the kernel/cokernel of the incidence matrix. This leads naturally to some vanishing and divisibility properties of the K-theory of these algebras.en_US
dc.description.sponsorshipNational Science Foundation (U.S.). Faculty Early Career Development Program (Award #1350472)en_US
dc.description.sponsorshipPortuguese Foundation for Science and Technology (project UID/MAT/00297/2013 (Centro de Matemática e Aplicações))en_US
dc.publisherEuropean Mathematical Publishing Houseen_US
dc.relation.isversionofhttp://dx.doi.org/10.4171/JNCG/11-4-12en_US
dc.rightsCreative Commons Attribution-Noncommercial-Share Alikeen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/4.0/en_US
dc.sourcearXiven_US
dc.subjectCorner skew Laurent polynomial algebra, Leavitt path algebra, algebraic K-theory, noncommutative mixed motives, noncommutative algebraic geometryen_US
dc.titleA¹-homotopy invariants of corner skew Laurent polynomial algebrasen_US
dc.typeArticleen_US
dc.identifier.citationTabuada, Gonçalo. “$A¹-homotopy invariants of corner skew Laurent polynomial algebras.” Journal of Noncommutative Geometry 11, no. 4 (December 15, 2017): 1627–1643.en_US
dc.contributor.departmentMassachusetts Institute of Technology. Department of Mathematicsen_US
dc.contributor.mitauthorTrigo Neri Tabuada, Goncalo Jorge
dc.relation.journalJournal of Noncommutative Geometryen_US
dc.eprint.versionOriginal manuscripten_US
dc.type.urihttp://purl.org/eprint/type/JournalArticleen_US
eprint.statushttp://purl.org/eprint/status/NonPeerRevieweden_US
dc.date.updated2018-05-31T15:59:22Z
dspace.orderedauthorsTabuada, Gonçaloen_US
dspace.embargo.termsNen_US
dc.identifier.orcidhttps://orcid.org/0000-0001-5558-9236
mit.licenseOPEN_ACCESS_POLICYen_US


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