dc.contributor.author | Bohmann, Anna Marie | |
dc.contributor.author | Szymik, Markus | |
dc.date.accessioned | 2024-01-04T07:06:27Z | |
dc.date.available | 2024-01-04T07:06:27Z | |
dc.date.created | 2022-11-15T23:07:09Z | |
dc.date.issued | 2023 | |
dc.identifier.issn | 1474-7480 | |
dc.identifier.uri | https://hdl.handle.net/11250/3109667 | |
dc.description.abstract | Loday’s assembly maps approximate the K-theory of group rings by the K-theory of the coefficient ring and the corresponding homology of the group. We present a generalisation that places both ingredients on the same footing. Building on Elmendorf–Mandell’s multiplicativity results and our earlier work, we show that the K-theory of Lawvere theories is lax monoidal. This result makes it possible to present our theory in a user-friendly way without using higher-categorical language. It also allows us to extend the idea to new contexts and set up a nonabelian interpolation scheme, raising novel questions. Numerous examples illustrate the scope of our extension. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Cambridge University Press | en_US |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internasjonal | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/deed.no | * |
dc.title | Generalizations of Loday’s assembly maps for Lawvere’s algebraic theories | en_US |
dc.title.alternative | Generalizations of Loday’s assembly maps for Lawvere’s algebraic theories | en_US |
dc.type | Peer reviewed | en_US |
dc.type | Journal article | en_US |
dc.description.version | publishedVersion | en_US |
dc.source.pagenumber | 1-27 | en_US |
dc.source.journal | Journal of the Institute of Mathematics of Jussieu | en_US |
dc.identifier.doi | 10.1017/S1474748022000603 | |
dc.identifier.cristin | 2074569 | |
dc.relation.project | Norges forskningsråd: 313472 | en_US |
cristin.ispublished | true | |
cristin.fulltext | original | |
cristin.qualitycode | 2 | |