Takashi Kimura

On stringy algebraic operations in equivariant K-theory

Abstract

We will introduce and explain some new algebraic structures associated to a smooth variety with a proper action of an algebraic group that are invariants of the associated quotient orbifold. Such algebraic structures arise from their orbifold K-theory ring, a K-theoretic variant of Chen-Ruan orbifold cohomology, and generalize more familiar operations in ordinary K-theory.