Existence and uniqueness of E-infinity structures on motivic K-theory spectra
Algebraic Geometry
2015-03-10 v3 Algebraic Topology
Abstract
We show that algebraic K-theory KGL, the motivic Adams summand ML and their connective covers acquire unique E-infinity structures refining naive multiplicative structures in the motivic stable homotopy category. The proofs combine Gamma-homology computations and work due to Robinson giving rise to motivic obstruction theory. As an application we employ a motivic to simplicial delooping argument to show a uniqueness result for E-infinity structures on the K-theory Nisnevich presheaf of spectra.
Keywords
Cite
@article{arxiv.1010.3944,
title = {Existence and uniqueness of E-infinity structures on motivic K-theory spectra},
author = {Niko Naumann and Markus Spitzweck and Paul Arne Østvær},
journal= {arXiv preprint arXiv:1010.3944},
year = {2015}
}
Comments
17 pages, differs from published version only in the proofs, to appear in JHRS