# K T ] 2 0 Fe b 20 19 Equivariant Callias index theory via coarse geometry

@inproceedings{Guo2019KT, title={K T ] 2 0 Fe b 20 19 Equivariant Callias index theory via coarse geometry}, author={H. Guo and P. Hochs and V. Mathai}, year={2019} }

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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