United Nations Educational Scientific and Cultural Organization and International Atomic Energy Agency, International Centre for Theoretical Physics, Trieste, Italy.
Abstract: The aim of this paper is to construct an equivariant higher $K$-theory for compact Lie group actions in a way analogous to the ones constructed in [A], [B] for finite groups and [C] for profinite groups. \item{[A]} Dress, A.; Kuku, A. O.: A convenient setting for equivariant higher algebraic $K$-theory. Lecture Notes 966, Springer Verlag 1982, 59-68. \item{[B]} Dress, A.; Kuku, A. O.: The Cartan map for equivariant higher algebraic $K$-groups. Communications in Algebra 9 (7) (1981), 727-746. \item{[C]} Kuku, A. O.: Equivariant $K$-theory and the cohomology of profinite groups. Lecture Notes 1046, Springer Verlag 1984, 234-244.
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