Twisted equivariant K-theory with complex coefficients

Details Twisted equivariant K-theory with complex coefficients Twisted equivariant K-theory with complex coefficients

2002-06-24

arxiv.org/abs/math/0206257v4

Mathematics

Algebraic Topology

Final version, to appear in Topology. Exposition improved, rational homotopy calculation completely rewritten

Scientific paper

Using a global version of the equivariant Chern character, we describe the complexified twisted equivariant K-theory of a space with a compact Lie group action in terms of fixed-point data. We apply this to the case of a compact Lie group acting on itself by conjugation, and relate the result to the Verlinde algebra and to the Kac numerator at q=1. Verlinde's formula is also discussed in this context.

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