Coarse geometry and Callias quantisation

@article{Guo2020CoarseGA,
  title={Coarse geometry and Callias quantisation},
  author={H. Guo and P. Hochs and V. Mathai},
  journal={Transactions of the American Mathematical Society},
  year={2020},
  pages={1}
}
Consider a proper, isometric action by a unimodular, locally compact group $G$ on a complete Riemannian manifold $M$. For equivariant elliptic operators that are invertible outside a cocompact subset of $M$, we show that a localised index in the $K$-theory of the maximal group $C^*$-algebra of $G$ is well-defined. The approach is based on the use of maximal versions of equivariant localised Roe algebras, and many of the technical arguments in this paper are used to handle the ways in which they… Expand
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