Equivariant K-groups of spheres with actions of involutions
K-Theory and Homology
2023-10-31 v1
Abstract
We calculate the R(G)-algebra structure on the reduced equivariant K-groups of two-dimensional spheres on which a compact Lie group G acts as involutions. In particular, the reduced equivariant K-groups are trivial if G is abelian, which shows that the previous Y. Yang's calculation in [Yan95] is not true.
Cite
@article{arxiv.math/0005271,
title = {Equivariant K-groups of spheres with actions of involutions},
author = {Jin-Hwan Cho and Mikiya Masuda},
journal= {arXiv preprint arXiv:math/0005271},
year = {2023}
}
Comments
7 pages, AMS-LaTeX v1.2