A Fixed Point Decomposition of Twisted Equivariant K-Theory

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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