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

Naumann, Niko and Spitzweck, Markus and Ostvaer, Paul Arne (2015) Existence and uniqueness of E-infinity structures on motivic K-theory spectra. JOURNAL OF HOMOTOPY AND RELATED STRUCTURES, 10 (3). pp. 333-346. ISSN 2193-8407, 1512-2891

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Abstract

We show that algebraic K-theory KGL , the motivic Adams summand and their connective covers acquire unique 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.

Item Type: Article
Uncontrolled Keywords: ; Motivic homotopy theory; E-infinity structures; Algebraic K-theory
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics > Prof. Dr. Niko Naumann
Depositing User: Dr. Gernot Deinzer
Date Deposited: 13 Jun 2019 14:06
Last Modified: 13 Jun 2019 14:06
URI: https://pred.uni-regensburg.de/id/eprint/4953

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