Equivariant K-theory for proper actions of non-compact Lie groups
Algebraic Topology
2010-11-02 v1 Category Theory
K-Theory and Homology
Abstract
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.
Keywords
Cite
@article{arxiv.1011.0053,
title = {Equivariant K-theory for proper actions of non-compact Lie groups},
author = {Clément de Seguins Pazzis},
journal= {arXiv preprint arXiv:1011.0053},
year = {2010}
}
Comments
83 pages, part of the author's PhD thesis