  We obtain the equivariant K-homology of the classifying space \underline{E}W
for W a right-angled or, more generally, an even Coxeter group. The key result
is a formula for the relative Bredon homology of \underline{E}W in terms of
Coxeter cells. Our calculations amount to the K-theory of the reduced
C^*-algebra of W, via the Baum-Connes assembly map.
