Loop groups and twisted K-theory I

@article{Freed2011LoopGA,
  title={Loop groups and twisted K-theory I},
  author={D. Freed and M. Hopkins and C. Teleman},
  journal={Journal of Topology},
  year={2011},
  volume={4},
  pages={737-798}
}
This is the first in a series of papers investigating the relationship between the twisted equivariant K-theory of a compact Lie group G and the “Verlinde ring” of its loop group. In this paper we set up the foundations of twisted equivariant K-groups, and more generally twisted K-theory of groupoids. We establish enough basic properties to make effective computations. We determine the twisted equivariant K-groups of a compact connected Lie group G with torsion free fundamental group. We relate… Expand
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