2012/02/23 by Jakob Scholbach, Scholbach, Jakob
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT) #Number Theory (math.NT) #math.KT #math.NT
paper · pdf · doi:10.48550/arxiv.1202.5203
Final version. To appear in Journal of Homotopy and Related Structures
openalex publication_date 2012/02/23 · arxiv created 2014/06/05 · arxiv updated 2014/06/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this note, we show that the algebraic K-theory of generalized archimedean valuation rings occurring in Durov's compactification of the spectrum of a number ring is given by stable homotopy groups of certain classifying spaces. We also show that the "residue field at infinity" is badly behaved from a K-theoretic point of view.