Equivariant K-theory for proper actions of non-compact Lie groups

Details Equivariant K-theory for proper actions of non-compact Lie groups Equivariant K-theory for proper actions of non-compact Lie groups

2010-10-30

arxiv.org/abs/1011.0053v1

Mathematics

Algebraic Topology

83 pages, part of the author's PhD thesis

Scientific paper

Generalizing a construction of Wolfgang L\"uck and Bob Oliver, we define a good equivariant cohomology theory on the category of proper G-CW complexes when G is an arbitrary Lie group (possibly non-compact). This is done by constructing an appropriate classifying space that arises from a Gamma-G-space. It is proven that this theory effectively generalizes Segal's equivariant K-theory when G is compact.

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