Twisted K-theory and loop group representations

Details Twisted K-theory and loop group representations Twisted K-theory and loop group representations

2003-12-08

arxiv.org/abs/math/0312155v3

Mathematics

Algebraic Topology

The final SELF-CONTAINED version is v.2. The current version had some material removed to the prequels [FHT1,2]. Minor notatio

Scientific paper

This is the third paper of a series relating the equivariant twisted $K$-theory of a compact Lie group $G$ to the ``Verlinde space'' of isomorphism classes of projective lowest-weight representations of the loop groups. Here, we treat arbitrary compact Lie groups. In addition, we discuss the relation to semi-infinite cohomology, the fusion product of Conformal Field theory, the r\^ole of energy and the topological Peter-Weyl theorem.

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