English

Kontsevich's noncommutative numerical motives

K-Theory and Homology 2019-02-20 v1 Algebraic Geometry Algebraic Topology

Abstract

In this note we prove that Kontsevich's category NCnum of noncommutative numerical motives is equivalent to the one constructed by the authors. As a consequence, we conclude that NCnum is abelian semi-simple as conjectured by Kontsevich.

Keywords

Cite

@article{arxiv.1108.3785,
  title  = {Kontsevich's noncommutative numerical motives},
  author = {Matilde Marcolli and Goncalo Tabuada},
  journal= {arXiv preprint arXiv:1108.3785},
  year   = {2019}
}

Comments

8 pages

R2 v1 2026-06-21T18:52:30.584Z