• Corpus ID: 118793372

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

  title={Equivariant K-theory for proper actions of non-compact Lie groups},
  author={Cl'ement de Seguins Pazzis},
  journal={arXiv: Algebraic Topology},
Generalizing a construction of Luck and Oliver (9), 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 G-space. It is proven that this theory effectively generalizes Segal's equivariant K- theory when G is compact. 


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Categories and cohomology theories
Equivariant K Theory for Proper Actions