2014/12/08 by D. Kaledin, Kaledin, D.
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT)
paper · pdf · doi:10.48550/arxiv.1412.2537
openalex publication_date 2014/12/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
For an additive Waldhausen category linear over a ring k, the corresponding K-theory spectrum is a module spectrum over the K-theory spectrum of k. Thus if k is a finite field of characteristic p, then after localization at p, we obtain an Eilenberg-Maclane spectrum -- in other words, a chain complex. We propose an elementary and direct construction of this chain complex that behaves well in families and uses only method of homological algebra (in particular, the notions of a ring spectrum and a module spectrum are not used).