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arxiv: 0904.4689 · v1 · submitted 2009-04-29 · 🧮 math.AT · math.KT

Completing Verlinde Algebras

classification 🧮 math.AT math.KT
keywords verlindealgebraalgebrasaugmentationcompactcompletingcompletioncomputation
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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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