TY - JOUR
T1 - Equivariant geometric K-homology for compact lie group actions
AU - Baum, Paul
AU - Oyono-Oyono, Hervé
AU - Schick, Thomas
AU - Walter, Michael
N1 - Funding Information:
Research of P. Baum partially supported by the Polish Government grant N201 1770 33 and by an NSF research grant. Research of T. Schick partially funded by the Courant Research Center “Higher order structures in Mathematics” within the German initiave of excellence.
PY - 2010
Y1 - 2010
N2 - 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 isomorphisms.
AB - 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 isomorphisms.
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U2 - 10.1007/s12188-010-0034-z
DO - 10.1007/s12188-010-0034-z
M3 - Article
AN - SCOPUS:84893704796
SN - 0025-5858
VL - 80
SP - 149
EP - 173
JO - Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg
JF - Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg
IS - 2
ER -