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arXiv · 0707.3963

On the quantization of conjugacy classes

E. Meinrenken
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Abstract

Let G be a compact, simple, simply connected Lie group. A theorem of Freed-Hopkins-Teleman identifies the level k fusion ring R_k(G) of G with the twisted equivariant K-homology at level k+h, where h is the dual Coxeter number. In this paper, we review this result using the language of Dixmier-Douady bundles. We show that the additive generators of the group R_k(G) are obtained as K-homology push-forwards of the fundamental classes of conjugacy classes in G.

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E. Meinrenken. 2007-07-26. On the quantization of conjugacy classes. https://arxiv.org/abs/0707.3963

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