Hebestreit, FabianLachmann, AndreaSteimle, Wolfgang2023-08-302023-08-302023-07-20Hebestreit, F, Lachmann, A & Steimle, W 2023, 'The localisation theorem for the K -theory of stable ∞-categories', Proceedings of the Royal Society of Edinburgh Section A: Mathematics, vol. 153, no. 4, pp. 1-37. https://doi.org/10.1017/prm.2023.350308-2105https://hdl.handle.net/2164/21586Funding Information: We heartily thank Dustin Clausen, from whom we first learned a clean proof of the localisation theorem, for several very helpful discussions. We further thank Ferdinand Wagner for the permission to use some of his pretty TikZ diagrams in this note. During the preparation of this manuscript, F. H. was a member of the Hausdorff Center for Mathematics at the University of Bonn funded by the German Research Foundation (DFG) and furthermore a member of the cluster ‘Mathematics Münster: Dynamics-Geometry-Structure’ at the University of Münster (DFG grant nos. EXC 2047 390685813 and EXC 2044 390685587, respectively). F. H. acknowledgesthe Mittag-Leffler Institute for its hospitality during the research programme ‘Higher algebraic structures in algebra, topology and geometry’, supported by the Swedish Research Council under grant no. 2016-06596. A. L. was supported by the Research Training Group ‘Algebro-Geometric Methods in Algebra, Arithmetic and Topology’ at the University of Wuppertal (DFG grant no. GRK 2240) and W. S. by the priority programme ‘Geometry at Infinity’ (DFG grant no. SPP 2026) at the University of Augsburg.372033836engalgebraic K-theoryQA MathematicsGeneral MathematicsQAJournal article10.1017/prm.2023.35http://www.scopus.com/inward/record.url?scp=85165948274&partnerID=8YFLogxK1534