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Pré-Publication, Document De Travail Année : 2010

Equivariant geometric K-homology for compact Lie group actions

Paul Baum
  • Fonction : Auteur
Thomas Schick
  • Fonction : Auteur
Michael Walter

Résumé

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.

Dates et versions

hal-00483565 , version 1 (14-05-2010)

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Paul Baum, Hervé Oyono-Oyono, Thomas Schick, Michael Walter. Equivariant geometric K-homology for compact Lie group actions. 2010. ⟨hal-00483565⟩
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