Unconditional motivic Galois groups and Voevodsky's nilpotence conjecture in the noncommutative world

Details Unconditional motivic Galois groups and Voevodsky's nilpotence conjecture in the noncommutative world Unconditional motivic Galois groups and Voevodsky's nilpotence conjecture in the noncommutative world

2011-12-22

arxiv.org/abs/1112.5422v1

Mathematics

K-Theory and Homology

13 pages

Scientific paper

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.

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