On the Equivalence of Geometric and Analytic K-Homology
K-Theory and Homology
2018-11-28 v4 Algebraic Topology
Geometric Topology
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.
Keywords
Cite
@article{arxiv.math/0701484,
title = {On the Equivalence of Geometric and Analytic K-Homology},
author = {Paul Baum and Nigel Higson and Thomas Schick},
journal= {arXiv preprint arXiv:math/0701484},
year = {2018}
}
Comments
29 pages, v4: corrected definition of E in proof of Prop 3.6