Twisted equivariant K-theory with complex coefficients

Constantin Teleman; Daniel S. Freed; Michael J. Hopkins

Twisted equivariant K-theory with complex coefficients

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arxiv math/0206257 v4 pith:QPWHYGS5 submitted 2002-06-24 math.AT math.KT

Twisted equivariant K-theory with complex coefficients

Daniel S. Freed , Michael J. Hopkins , Constantin Teleman This is my paper

classification math.AT math.KT

keywords equivariantcompactgroupk-theorytwistedverlindeactingaction

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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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