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Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, Vol. 41, No. 1, pp. 141-150 (2000)
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Equivariant Higher $K$-theory for Compact Lie Group Actions

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Aderemi O. Kuku

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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