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- W2950391133 abstract "We consider a invariant Dirac operator D on a manifold with a proper and cocompact action of a discrete group G. It gives rise to an equivariant K-homology class [D]. We show how the index of the induced orbifold Dirac operator can be calculated from [D] via the assembly map. We further derive a formula for this index in terms of the contributions of finite cyclic subgroups of G. According to results of W. Lueck, the equivariant K-homology can rationally be decomposed as a direct sum of contributions of finite cyclic subgroups of G. Our index formula thus leads to an explicit decomposition of the class [D]." @default.
- W2950391133 created "2019-06-27" @default.
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- W2950391133 date "2007-01-26" @default.
- W2950391133 modified "2023-09-27" @default.
- W2950391133 title "Orbifold index and equivariant K-homology" @default.
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