Equivariant Ktheory for proper actions of noncompact Lie groups
Abstract
Generalizing a construction of Wolfgang Lück and Bob Oliver, we define a good equivariant cohomology theory on the category of proper GCW complexes when G is an arbitrary Lie group (possibly noncompact). This is done by constructing an appropriate classifying space that arises from a GammaGspace. It is proven that this theory effectively generalizes Segal's equivariant Ktheory when G is compact.
 Publication:

arXiv eprints
 Pub Date:
 October 2010
 arXiv:
 arXiv:1011.0053
 Bibcode:
 2010arXiv1011.0053D
 Keywords:

 Mathematics  Algebraic Topology;
 Mathematics  Category Theory;
 Mathematics  KTheory and Homology;
 19L47;
 55R91;
 55U10
 EPrint:
 83 pages, part of the author's PhD thesis