nLab
twisted ad-equivariant K-theory

Contents

Context

Algebraic topology

Representation theory

Cohomology

cohomology

Special and general types

Special notions

Variants

Extra structure

Operations

Theorems

Contents

Idea

The twisted equivariant K-theory of suitable compact Lie groups equivariant with respect to the adjoint action of the group on itself.

By FHT this is equivalent to the Verlinde ring of positive energy representations of the corresponding loop group.

(…)

References

On twisted ad-equivariant K-theory of compact Lie groups and the identification with the Verlinde ring of positive energy representations of their loop group:

Discussion in terms of differentiable stacks:

Review:

Computation of the twisted ad-equivariant K-theory-groups for all simply connected compact simple Lie groups:

Generalization to KR-theory:

Last revised on April 13, 2021 at 13:50:26. See the history of this page for a list of all contributions to it.