Weight structure on noncommutative motives

Details Weight structure on noncommutative motives Weight structure on noncommutative motives

2011-11-29

arxiv.org/abs/1111.6892v1

Mathematics

K-Theory and Homology

9 pages

Scientific paper

In this note we endow Kontsevich's category KMM of noncommutative mixed motives with a non-degenerate weight structure in the sense of Bondarko. As an application we obtain a convergent weight spectral sequence for every additive invariant (e.g. algebraic K-theory, cyclic homology, topological Hochschild homology, etc.), and a ring isomorphism between the Grothendieck ring of KMM and the Grothendieck ring of the category of noncommutative Chow motives.

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