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Journal of the London Mathematical Society Advance Access originally published online on August 1, 2007
Journal of the London Mathematical Society 2007 75(3):773-790; doi:10.1112/jlms/jdm035
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© 2007 London Mathematical Society

Equivariant K-homology for some Coxeter groups

Rubén J. Sánchez-García

Mathematisches Institut
Heinrich-Heine-Universität Düsseldorf
Universitätsstr. 1
40225 Düsseldorf
Germany

We obtain the equivariant K-homology of the classifying space EW for W, a right-angled or, more generally, an even Coxeter group. The key result is a formula for the relative Bredon homology of EW 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.

sanchez{at}math.uni-duesseldorf.de

2000 Mathematics Subject Classification 19L47, 55N91, 19K99, 46L80.

Received May 2, 2006; published online August 1, 2007.


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