English

Completing Verlinde Algebras

Algebraic Topology 2009-04-30 v1 K-Theory and Homology

Abstract

We compute the completion of the Verlinde algebra of a simply connected simple compact Lie group GG 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 KK-theory of the free loop space of BGBG.

Keywords

Cite

@article{arxiv.0904.4689,
  title  = {Completing Verlinde Algebras},
  author = {Daniel Kneezel and Igor Kriz},
  journal= {arXiv preprint arXiv:0904.4689},
  year   = {2009}
}
R2 v1 2026-06-21T12:56:32.999Z