Completions of Higher Equivariant K-theory
Algebraic Geometry
2009-06-16 v1
Abstract
The goal of this paper is to prove a version of the non-abelian localization theorem for the rational equivariant K-theory of a smooth variety with the action of a linear algebraic group . We then use this to prove a Riemann-Roch theorem which represents the completion of the higher equivariant K-theory of at various maximal ideals of the representation ring, in terms the equivariant higher Chow groups. This generalizes a result of Edidin and Graham to higher -theory with rational coefficients.
Keywords
Cite
@article{arxiv.0906.2678,
title = {Completions of Higher Equivariant K-theory},
author = {Amalendu Krishna},
journal= {arXiv preprint arXiv:0906.2678},
year = {2009}
}