In this article we further the study of noncommutative pure motives. We construct unconditional noncommutative motivic Galois groups and relate them to the unconditional motivic Galois groups developed originally by Andre-Kahn. Then, we introduce the correct noncommutative analogue of Voevodsky's nilpotence conjecture and explore its interaction with the finite dimensionality of noncommutative Chow motives as well as with Voevodsky's original conjecture.
Matilde Marcolli <email@example.com>
Goncalo Tabuada <firstname.lastname@example.org>