On the equivalence of geometric and analytic K-homology

Paul Baum; Nigel Higson; Thomas Schick

doi:10.4310/PAMQ.2007.v3.n1.a1

On the equivalence of geometric and analytic K-homology

Paul Baum, Nigel Higson, Thomas Schick

Research output: Contribution to journal › Article › peer-review

52 Scopus citations

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.

Original language	English (US)
Pages (from-to)	1-24
Number of pages	24
Journal	Pure and Applied Mathematics Quarterly
Volume	3
Issue number	1
DOIs	https://doi.org/10.4310/PAMQ.2007.v3.n1.a1
State	Published - 2007

All Science Journal Classification (ASJC) codes

General Mathematics

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10.4310/PAMQ.2007.v3.n1.a1

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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.",

author = "Paul Baum and Nigel Higson and Thomas Schick",

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AU - Higson, Nigel

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AB - 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

Abstract

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