Corpus ID: 119629090

Equivariant Callias index theory via coarse geometry

@article{Guo2019EquivariantCI,
  title={Equivariant Callias index theory via coarse geometry},
  author={H. Guo and P. Hochs and V. Mathai},
  journal={arXiv: K-Theory and Homology},
  year={2019}
}

• H. Guo, P. Hochs, V. Mathai
• Published 2019
• Mathematics
• arXiv: K-Theory and Homology

The equivariant coarse index is well-understood and widely used for actions by discrete groups. We extend the definition of this index to general locally compact groups. We use a suitable notion of admissible modules over $C^*$-algebras of continuous functions to obtain a meaningful index. Inspired by work by Roe, we then develop a localised variant, with values in the $K$-theory of a group $C^*$-algebra. This generalises the Baum-Connes assembly map to non-cocompact actions. We show that an… Expand

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