Algebraic analogue of Atiyah's theorem
K-Theory and Homology
2011-11-22 v1
Abstract
In topology there is a theorem of Atiyah, concerning K-theory of classifying space of connected compact Lie group. We consider an algebraic analogue of this theorem. We prove that for a split reductive algebraic group G over a field there is an isomorphism between K-theory of etale classifying space of group G and a completion of the G-equivariant K-theory of the base field.
Keywords
Cite
@article{arxiv.1111.4685,
title = {Algebraic analogue of Atiyah's theorem},
author = {Alisa Knizel and Alexander Neshitov},
journal= {arXiv preprint arXiv:1111.4685},
year = {2011}
}