Jones' conjecture on outer automorphisms of group von Neumann algebras

Let $G$ be an ICC group with Kazhdan's property (T). Write $\operatorname{Char}(G)$ for the group of characters of $G$, $\operatorname{Out}(G)$ for its outer automorphism group, and $\operatorname{Out}(\operatorname{L}(G))$ for the outer automorphism group of its group von Neumann algebra. Jones' conjecture. One has

$$\operatorname{Out}(\operatorname{L}(G))\cong \operatorname{Char}(G)\rtimes \operatorname{Out}(G).$$

This asserts that property (T) makes the natural homomorphism from $\operatorname{Char}(G)\rtimes\operatorname{Out}(G)$ onto $\operatorname{Out}(\operatorname{L}(G))$ surjective. The paper confirms the conjecture for a wide class of ICC groups with property (T), while the general statement remains open.