Generalized Artin and Brauer induction for compact Lie groups
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 KG, and to the Borel cohomology associated to any complex oriented cohomology theory. The coefficient ring of KG is the representation ring R(G) of G. When G is a finite group the induction theorems for KG coincide with the classical Artin and Brauer induction theorems for R(G).
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