Equivariant Higher K-Theory for Compact Lie Group Actions, by Aderemi O. Kuku

Let G be a compact Lie group. In this paper we construct equivariant higher K-functors as Mackey functors from a suitably defined category of homogenous G-spaces to the category of Abelian groups. We prove that these functors are hyper-elementary computable as well as give indications about how to extend this theory to Mackey functors defined on the category of G-spaces of the G-homotopy type of G-CW complexes.

Aderemi O. Kuku <kuku@ictp.trieste.it>