TITLE: Injectivity of the Baum-Connes assembly map for locally compact groups
QUESTION [8 upvotes]: Skandalis, Tu and Yu in "The coarse Baum-Connes conjecture and groupoids" proved that:

Let $\Gamma$ be a countable group with a proper left-invariant metric $d$. If $\Gamma$ admits a uniform embedding into Hilbert space, then Baum-Connes assembly map with coefficients is split injective. 

My question is that is it still true if we replace $\Gamma$ by a locally compact second countable Hausdorff topological group $G$? known or unknown?

REPLY [2 votes]: Property A and uniform embedding for locally compact groups by Steven Deprez and Kang Li arXiv:1309.7290
http://arxiv.org/pdf/1309.7290.pdf