Generalized Artin and Brauer induction for compact Lie groups

Halvard Fausk 

email: fausk@math.ntnu.no 

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 $R(G)$.