  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.
