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Equivariant geometric K-homology for compact Lie group actions

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 Added by Thomas Schick
 Publication date 2009
  fields
and research's language is English
 Authors Paul Baum




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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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