The Bass-Heller-Swan formula for the equivariant topological Whitehead group

In the first part of this paper, a geometric definition of theK-theory equivariant nilpotent groups is given. For a finite groupG, the Nil-groups are defined as functors from the category ofG-spaces andG-homotopy classes ofG-maps to Abelian groups. In the nonequivariant case, these groups are isomorphic to the classical algebraic Nil-groups.In the second part, the Bass-Heller-Swan formula is proved for the equivariant topological Whitehead group. The main result of this work is that ifX is a compactG-ANR andG acts trivially onS¹, then

Keywords:	Equivariant topological Whitehead group  equivariant nilpotent group  equivariant wrapping-up  topological Bass-Heller-Swan formula
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