Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/18986
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dc.contributor.authorTabuada, Goncalo-
dc.contributor.authorVAN DEN BERGH, Michel-
dc.date.accessioned2015-07-15T14:01:55Z-
dc.date.available2015-07-15T14:01:55Z-
dc.date.issued2015-
dc.identifier.citationJOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU, 14 (2), p. 379-403-
dc.identifier.issn1474-7480-
dc.identifier.urihttp://hdl.handle.net/1942/18986-
dc.description.abstractLet k be a base commutative ring, R a commutative ring of coefficients, X a quasi-compact quasi-separated k-scheme, and A a sheaf of Azumaya algebras over X of rank r. Under the assumption that 1/r is an element of R, we prove that the noncommutative motives with R-coefficients of X and A are isomorphic. As an application, we conclude that a similar isomorphism holds for every R-linear additive invariant. This leads to several computations. Along the way we show that, in the case of finite-dimensional algebras of finite global dimension, all additive invariants are nilinvariant.-
dc.description.sponsorshipG. Tabuada was partially supported by the NEC Award-2742738 and by the Portuguese Foundation for Science and Technology through the project PEst-OE/MAT/UI0297/2014 (CMA). This material is based upon work supported by the National Science Foundation (NSF) under Grant No. 0932078 000, undertaken while the authors were in residence at the Mathematical Science Research Institute (MSRI) in Berkeley, California, during the spring semester of 2013.-
dc.language.isoen-
dc.publisherCAMBRIDGE UNIV PRESS-
dc.rights© Cambridge University Press 2014-
dc.subject.otheralgebraic K-theory; Azumaya algebras; cyclic homology; nilinvariance; noncommutative algebraic geometry; noncommutative motives-
dc.subject.otheralgebraic K-theory; Azumaya algebras; cyclic homology; nilinvariance; noncommutative algebraic geometry; noncommutative motives-
dc.titleNONCOMMUTATIVE MOTIVES OF AZUMAYA ALGEBRAS-
dc.typeJournal Contribution-
dc.identifier.epage403-
dc.identifier.issue2-
dc.identifier.spage379-
dc.identifier.volume14-
local.format.pages25-
local.bibliographicCitation.jcatA1-
dc.description.notes[Tabuada, Goncalo] MIT, Dept Math, Cambridge, MA 02139 USA. [Tabuada, Goncalo] FCT UNL, Dept Matemat, P-2829516 Caparica, Portugal. [Tabuada, Goncalo] FCT UNL, CMA, P-2829516 Caparica, Portugal. [van den Bergh, Michel] Univ Hasselt, Dept WNI, B-3590 Diepenbeek, Belgium.-
local.publisher.placeCAMBRIDGE-
local.type.refereedRefereed-
local.type.specifiedArticle-
dc.identifier.doi10.1017/S147474801400005X-
dc.identifier.isi000354708000003-
item.fulltextWith Fulltext-
item.fullcitationTabuada, Goncalo & VAN DEN BERGH, Michel (2015) NONCOMMUTATIVE MOTIVES OF AZUMAYA ALGEBRAS. In: JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU, 14 (2), p. 379-403.-
item.contributorTabuada, Goncalo-
item.contributorVAN DEN BERGH, Michel-
item.accessRightsRestricted Access-
item.validationecoom 2016-
crisitem.journal.issn1474-7480-
crisitem.journal.eissn1475-3030-
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