An equivariant orbifold index for proper actions

@article{Hochs2020AnEO,
  title={An equivariant orbifold index for proper actions},
  author={P. Hochs and H. Wang},
  journal={Journal of Geometry and Physics},
  year={2020},
  volume={154},
  pages={103710}
}
  • P. Hochs, H. Wang
  • Published 2020
  • Mathematics
  • Journal of Geometry and Physics
  • Abstract For a proper, cocompact action by a locally compact group of the form H × G , with H compact, we define an H × G -equivariant index of H -transversally elliptic operators, which takes values in K K ∗ ( C ∗ H , C ∗ G ) . This simultaneously generalises the Baum–Connes analytic assembly map, Atiyah’s index of transversally elliptic operators, and Kawasaki’s orbifold index. This index also generalises the assembly map to elliptic operators on orbifolds. In the special case where the… CONTINUE READING

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