  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.
