A fixed point decomposition of twisted equivariant K-theory

Dove, Tom; Schick, Thomas; Velásquez, Mario

doi:10.1090/proc/16491

A fixed point decomposition of twisted equivariant K-theory
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by Tom Dove, Thomas Schick and Mario Velásquez

Proc. Amer. Math. Soc. 151 (2023), 4593-4606

DOI: https://doi.org/10.1090/proc/16491

Published electronically: June 30, 2023

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Abstract:

We present a decomposition of rational twisted $G$-equivariant K-theory, $G$ a finite group, into cyclic group equivariant K-theory groups of fixed point spaces. This generalises the untwisted decomposition by Atiyah and Segal [J. Geom. Phys. 6 (1989), pp. 671–677] as well as the decomposition by Adem and Ruan [Comm. Math. Phys. 237 (2003), pp. 533–556] for twists coming from group cocycles.

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