2010/10/19 by Niko Naumann, Naumann, Niko, Markus Spitzweck +3
Mathematics · #14F42 #19E08 #55P43 #Algebraic Geometry (math.AG) #Algebraic Topology (math.AT) #FOS: Mathematics #math.AG #math.AT #msc:14F42 #msc:19E08 #msc:55P43
paper · pdf · doi:10.48550/arxiv.1010.3944
17 pages, differs from published version only in the proofs, to appear in JHRS
arxiv created 2015/03/09 · arxiv updated 2015/03/10
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.