The coarse Novikov conjecture for discrete metric spaces

Let $X$ be a discrete metric space with bounded geometry. For each $d>0$, let $P_d(X)$ be its Rips complex, and let $C^*_L(P_d(X))$ and $C^*(X)$ denote its localization and Roe algebras. The evaluation map is

$$ev\colon \lim_{d\to\infty} C^*_L(P_d(X))\to C^*(X).$$

Coarse Novikov conjecture. The induced map

$$ev_*\colon \lim_{d\to\infty}K_*( C^*_L(P_d(X)))\to K_*( C^*(X))$$

is injective. This conjecture asserts injectivity of the coarse assembly map and is the coarse analogue of the Strong Novikov Conjecture. Its resolution is not supplied in the source.