On the Equivalence of Geometric and Analytic K-Homology

Details On the Equivalence of Geometric and Analytic K-Homology On the Equivalence of Geometric and Analytic K-Homology

2007-01-17

arxiv.org/abs/math/0701484v4

Pure and Applied Mathematics Quarterly 3, 1--24, (2007)

Mathematics

K-Theory and Homology

29 pages, v4: corrected definition of E in proof of Prop 3.6

Scientific paper

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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