Completing Verlinde algebras

作者：Kneezel Daniel; Kriz Igor^*

来源：Journal of Algebra, 2011, 327(1): 126-140.

DOI：10.1016/j.jalgebra.2010.10.027

• Verlinde algebra
• Completion
• Commutative algebra
• Lie groups

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 Dwyer and Lahtinen, this gives a computation of (non-equivariant) twisted K-theory of the free loop space of BG.

• 出版日期2011-2-1