Higher algebraic K-theory of group actions with finite stabilizers
Algebraic Geometry
2007-05-23 v2 K-Theory and Homology
Abstract
We prove a decomposition theorem for the equivariant K-theory of actions of affine group schemes G of finite type over a field on regular separated noetherian algebraic spaces, under the hypothesis that the actions have finite geometric stabilizers and satisfy a rationality condition together with a technical condition which holds e.g. for G abelian or smooth. We describe in an Appendix various complicial bi-Waldhausen categories (in Thomason's terminology) modelling the equivariant K-theory of regular noetherian separated algebraic spaces.
Keywords
Cite
@article{arxiv.math/9912155,
title = {Higher algebraic K-theory of group actions with finite stabilizers},
author = {Gabriele Vezzosi and Angelo Vistoli},
journal= {arXiv preprint arXiv:math/9912155},
year = {2007}
}
Comments
39 pages, no figures, ScientificWord 2.0. Final revised version accepted for publication in Duke Math. J