A multiplicative K-theoretic model of Voevodsky’s motivic K-theory spectrum

Abstract

Voevodsky defined a motivic spectrum representing algebraic K-theory, and Panin, Pimenov, and R?ndigs described its ring structure up to homotopy. We construct a motivic symmetric spectrum with a strict ring structure. Then we show that these spectra are stably equivalent and that their ring structures are compatible up to homotopy.