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On the quantization of conjugacy classes | | E. Meinrenken
; | | Date: |
26 Jul 2007 | | 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. | | Source: | arXiv, 0707.3963 | | Services: | Forum | Review | PDF | Favorites | |
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