The rational Whitehead injectivity conjecture

For a group $G$, let $\operatorname{Wh}(G)$ denote its Whitehead group, and let $\mathcal{F}\!\mathit{in}$ be the family of finite subgroups. The rational Whitehead injectivity conjecture. The map

$$\operatorname*{colim}_{H\in\operatorname{Ob}\operatorname{Sub}_G(\mathcal{F}\!\mathit{in})}\operatorname{Wh}(H)\otimes_{\mathbb{Z}}\mathbb{Q}\longrightarrow\operatorname{Wh}(G)\otimes_{\mathbb{Z}}\mathbb{Q}$$

is injective. The source presents this as the torsion analogue of the torsion-free Whitehead conjecture and does not state a general resolution.