Equivariant geometric K-homology for compact lie group actions

Paul Baum, Hervé Oyono-Oyono, Thomas Schick, Michael Walter

Research output: Contribution to journalArticle

13 Scopus citations

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 isomorphisms.

Original languageEnglish (US)
Pages (from-to)149-173
Number of pages25
JournalAbhandlungen aus dem Mathematischen Seminar der Universitat Hamburg
Volume80
Issue number2
DOIs
StatePublished - Mar 8 2010

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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