Kontsevich's category of noncommutative numerical motives., by Matilde Marcolli and Goncalo Tabuada

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.

Matilde Marcolli <matilde@caltech.edu>
Goncalo Tabuada <tabuada@math.mit.edu>