Completing Verlinde Algebras

Mathematics – Algebraic Topology

Scientific paper

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Scientific paper

We compute the completion of the Verlinde algebra of a simply connected
simple compact Lie group $G$ at the augmentation ideal of the representation
ring. By results of Freed, Hopkins, Teleman and C.Dwyer and Lahtinen, this
gives a computation of (non-equivariant) twisted $K$-theory of the free loop
space of $BG$.

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