Chromatic convergence for the algebraic K‐theory of the sphere spectrum
Abstract
Abstract We show that the map from to its chromatic completion is a connective cover and identify the fiber in ‐theoretic terms. We combine this with recent work of Land–Mathew–Meier‐Tamme to prove a form of “Waldhausen's Chromatic Convergence Conjecture”: we show that the map is the inclusion of a wedge summand.
Fields of Study & Subjects
Homotopy and Cohomology in Algebraic Topology
Algebraic Geometry and Number Theory
Advanced Algebra and Geometry
Publication details
- Journal / source
- Journal of the London Mathematical Society
- Publisher
- Wiley
- Volume
- 113
- Issue
- 4
- Publication date
- 1 April 2026
- Language
- EN