Weight structure on noncommutative motives
K-Theory and Homology
2011-11-30 v1 Algebraic Geometry
Algebraic Topology
Abstract
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.
Cite
@article{arxiv.1111.6892,
title = {Weight structure on noncommutative motives},
author = {Goncalo Tabuada},
journal= {arXiv preprint arXiv:1111.6892},
year = {2011}
}
Comments
9 pages