Motivic twisted K-theory

@article{Spitzweck2010MotivicTK,
  title={Motivic twisted K-theory},
  author={Markus Spitzweck and Paul arne Ostvaer},
  journal={arXiv: Algebraic Topology},
  year={2010}
}
This paper sets out basic properties of motivic twisted K-theory with respect to degree three motivic cohomology classes of weight one. Motivic twisted K-theory is defined in terms of such motivic cohomology classes by taking pullbacks along the universal principal BG_m-bundle for the classifying space of the multiplicative group scheme. We show a Kuenneth isomorphism for homological motivic twisted K-groups computing the latter as a tensor product of K-groups over the K-theory of BG_m. The… 

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