An equivariant index for proper actions II: properties and applications

@article{Hochs2016AnEI,
  title={An equivariant index for proper actions II: properties and applications},
  author={P. Hochs and Y. Song},
  journal={arXiv: K-Theory and Homology},
  year={2016}
}
In the first part of this series, we defined an equivariant index without assuming the group acting or the orbit space of the action to be compact. This allowed us to generalise an index of deformed Dirac operators, defined for compact groups by Braverman. In this paper, we investigate properties and applications of this index. We prove that it has an induction property that can be used to deduce various other properties of the index. In the case of compact orbit spaces, we show how it is… Expand
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Tables from this paper

An equivariant index for proper actions I
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A fixed point formula and Harish-Chandra's character formula
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Coarse geometry and Callias quantisation
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On the Vergne conjecture
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An equivariant index for proper actions I
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Geometric quantization and families of inner products
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Geometric quantization for proper actions
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