In this article we endow Kontsevich's triangulated category KMMk of noncommutative mixed motives with a non-degenerate weight structure in the sense of Bondarko. As an application we obtain: (1) a convergent weight spectral sequence for every additive invariant (e.g., algebraic K-theory, cyclic homology, topological Hochschild homology, etc.); (2) a ring isomorphism between K0(KMMk) and the Grothendieck ring of the category of noncommutative Chow motives; (3) a precise relationship between Voevodsky's (virtual) mixed motives and Kontsevich's noncommutative (virtual) mixed motives.
Homology, Homotopy and Applications, Vol. 14 (2012), No. 2, pp.129-142.
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