On restriction properties of equivariant K-theory rings
Algebraic Topology
2007-05-23 v1 K-Theory and Homology
Abstract
An important ingredient in the completion theorem of equivariant K-theory given by S. Jackowski is that the representation ring R(Gamma) of a compact Lie group satisfies two restriction properties called (N) and (R\_{F}). We give in this note sufficient conditions on a (compact) -space Z such that these properties hold with K\_{Gamma}^{*}(Z) instead of R(Gamma). As an example, we consider the space Z(Gamma;G) of the so called "elementary cocycles with coefficients in G" invented by H. Ibisch in his construction of a universal (Gamma;G)-bundle.
Keywords
Cite
@article{arxiv.math/0508329,
title = {On restriction properties of equivariant K-theory rings},
author = {Abdelouahab Arouche},
journal= {arXiv preprint arXiv:math/0508329},
year = {2007}
}