Equivariant geometric K-homology for compact lie group actions

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

Research output: Contribution to journalArticle

9 Citations (Scopus)

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

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K-homology
Lie Group Actions
Compact Lie Group
Equivariant
Homology Groups
KK-theory
CW-complex
Isomorphism

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

Baum, Paul Frank ; Oyono-Oyono, Hervé ; Schick, Thomas ; Walter, Michael. / Equivariant geometric K-homology for compact lie group actions. In: Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg. 2010 ; Vol. 80, No. 2. pp. 149-173.
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Equivariant geometric K-homology for compact lie group actions. / Baum, Paul Frank; Oyono-Oyono, Hervé; Schick, Thomas; Walter, Michael.

In: Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg, Vol. 80, No. 2, 08.03.2010, p. 149-173.

Research output: Contribution to journalArticle

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