2010/10/30 by Pazzis, Clément de Seguins
#19L47 #55R91 #55U10 #Algebraic Topology (math.AT) #Category Theory (math.CT) #FOS: Mathematics #K-Theory and Homology (math.KT)
paper · doi:10.48550/arxiv.1011.0053
Generalizing a construction of Wolfgang Lück 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.