2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/228927We 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 $BG$.Algebraic TopologyK-Theory and Homologytext