Title: Equivariant K-homology for some Coxeter groups Author: Ruben Sanchez-Garcia Author's address: Department of Pure Maths, Hicks Building University of Sheffield Sheffield S3 7RH, United Kingdom Included eps files: hexagon3.eps hexagon4.eps interval.eps tessellation0.eps trianglesd2.eps AMS classification number: 19L47, 55N91 (Primary); 19K99, 46L80 (Secondary) Other useful information: arXiv:math.KT/0604402 Abstract: 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.