On the Equivalence of Geometric and Analytic K-Homology

Nigel Higson (Penn State University); Paul Baum (Penn State University); Thomas Schick (Georg-August Universit\"at G\"ottingen)

arxiv: math/0701484 · v4 · pith:XE6JQT56new · submitted 2007-01-17 · 🧮 math.KT · math.AT· math.GT

On the Equivalence of Geometric and Analytic K-Homology

Paul Baum (Penn State University) , Nigel Higson (Penn State University) , Thomas Schick (Georg-August Universit\"at G\"ottingen) This is my paper

classification 🧮 math.KT math.ATmath.GT

keywords k-homologygeometricprooftheoryanalyticargumentsbaumcw-complexes

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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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On the Equivalence of Geometric and Analytic K-Homology

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