Kontsevich's noncommutative numerical motives
  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 and Goncalo Tabuada
math.KT math.AG math.AT