Completion theorem for equivariant $K$-theory
Algebraic Geometry
2015-11-17 v2 K-Theory and Homology
Abstract
In this paper, we study the algebraic analogue of the topological Atiyah-Segal completion theorem. We verify this completion theorem for the algebraic equivariant -theory of smooth projective schemes. We also show that the completion theorem fails in general for smooth non-projective schemes.
Keywords
Cite
@article{arxiv.1201.5766,
title = {Completion theorem for equivariant $K$-theory},
author = {Amalendu Krishna},
journal= {arXiv preprint arXiv:1201.5766},
year = {2015}
}
Comments
Final version, to appear in J. reine angew. Math. (Crelle), (2015)