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On the Equivalence of Geometric and Analytic K-Homology

Paul Baum, Nigel Higson, Thomas Schick

math.KTarXiv:math/0701484

Abstract

We give a proof that the geometric K-homology theory for finite CW-complexes defined by Baum and Douglas is isomorphic to Kasparov's K-homology. The proof is a simplification of more elaborate arguments which deal with the geometric formulation of equivariant K-homology theory.

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