Corpus ID: 131776939

An equivariant Atiyah-Patodi-Singer index theorem for proper actions

@article{Hochs2019AnEA,
  title={An equivariant Atiyah-Patodi-Singer index theorem for proper actions},
  author={P. Hochs and B. Wang and Hang Wang},
  journal={arXiv: Differential Geometry},
  year={2019}
}
  • P. Hochs, B. Wang, Hang Wang
  • Published 2019
  • Mathematics
  • arXiv: Differential Geometry
  • Consider a proper, isometric action by a unimodular locally compact group $G$ on a Riemannian manifold $M$ with boundary, such that $M/G$ is compact. Then an equivariant Dirac type operator on $M$ under a suitable boundary condition has an equivariant index in the $K$-theory of the reduced group $C^*$-algebra $C^*_rG$ of $G$, which is a common generalisation of the Baum-Connes analytic assembly map and the (equivariant) Atiyah-Patodi-Singer index. Using a trace on a suitable subalgebra of $C… CONTINUE READING
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