A nonstanadard analysis approach to limit operators and Fredholmness in Roe-like algebras

Liang Guo, Jin Qian, Qin Wang

Let $(X,d)$ be a uniformly locally finite metric space, and $T$ an operator in the uniform Roe algebra $C_u^{\ast }(X)$ (or uniform quasi-local algebra $C_{ql}^{\ast }(X)$). In this paper, we…