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arXiv · 2202.05788

A Fixed Point Decomposition of Twisted Equivariant K-Theory

Tom Dove·Thomas Schick·Mario Velásquez
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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 as well as the decomposition by Adem and Ruan for twists coming from group cocycles.

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Tom Dove, Thomas Schick, Mario Velásquez. 2022-02-11. A Fixed Point Decomposition of Twisted Equivariant K-Theory. https://doi.org/10.1090/proc/16491

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