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arXiv · 1010.3944

Existence and uniqueness of E-infinity structures on motivic K-theory spectra

Niko Naumann·Markus Spitzweck·Paul Arne Østvær
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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.

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Niko Naumann, Markus Spitzweck, Paul Arne Østvær. 2010-10-19. Existence and uniqueness of E-infinity structures on motivic K-theory spectra. https://arxiv.org/abs/1010.3944

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