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A Fixed Point Decomposition of Twisted Equivariant K-Theory

K-Theory and Homology 2023-12-22 v1

Abstract

We present a decomposition of rational twisted GG-equivariant K-theory, GG a finite group, into cyclic group equivariant K-theory groups of fixed point spaces. This generalises the untwisted decomposition by Atiyah and Segal as well as the decomposition by Adem and Ruan for twists coming from group cocycles.

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Cite

@article{arxiv.2202.05788,
  title  = {A Fixed Point Decomposition of Twisted Equivariant K-Theory},
  author = {Tom Dove and Thomas Schick and Mario Velásquez},
  journal= {arXiv preprint arXiv:2202.05788},
  year   = {2023}
}

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16 pages