Generalized Artin and Brauer induction for compact Lie groups
Algebraic Topology
2008-06-15 v2 Representation Theory
Abstract
Let G be a compact Lie group. We present two induction theorems for certain generalized G-equivariant cohomology theories. The theory applies to G-equivariant K-theory K_G, and to the Borel cohomology associated to any complex oriented cohomology theory. The coefficient ring of K_G is the representation ring R(G) of G. When G is a finite group the induction theorems for K_G coincide with the classical Artin and Brauer induction theorems for R(G).
Cite
@article{arxiv.math/0609641,
title = {Generalized Artin and Brauer induction for compact Lie groups},
author = {Halvard Fausk},
journal= {arXiv preprint arXiv:math/0609641},
year = {2008}
}