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arXiv · 0902.0641

Equivariant geometric K-homology for compact Lie group actions

Paul Baum·Herve Oyono-Oyono·Thomas Schick·Michael Walter
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Abstract

Let G be a compact Lie-group, X a compact G-CW-complex. We define equivariant geometric K-homology groups K^G_*(X), using an obvious equivariant version of the (M,E,f)-picture of Baum-Douglas for K-homology. We define explicit natural transformations to and from equivariant K-homology defined via KK-theory (the "official" equivariant K-homology groups) and show that these are isomorphism.

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Paul Baum, Herve Oyono-Oyono, Thomas Schick, Michael Walter. 2009-02-03. Equivariant geometric K-homology for compact Lie group actions. https://doi.org/10.1007/s12188-010-0034-z

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