Twisted equivariant K-theory with complex coefficients
Algebraic Topology
2014-02-26 v4 K-Theory and Homology
Abstract
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.
Cite
@article{arxiv.math/0206257,
title = {Twisted equivariant K-theory with complex coefficients},
author = {Daniel S. Freed and Michael J. Hopkins and Constantin Teleman},
journal= {arXiv preprint arXiv:math/0206257},
year = {2014}
}
Comments
Final version, to appear in Topology. Exposition improved, rational homotopy calculation completely rewritten