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 $R(G)$.