The vector-valued quantum unique ergodicity conjecture

Let $X$ be the relevant hyperbolic three-manifold, let $\rho_m$ be the representation defining the homogeneous bundle $X\times_K\rho_m$, and let $\{s_n\}$ be a sequence of $L^2$-normalised automorphic sections of weight $k$. Let $\nu_n$ denote their microlocal lifts, and let $v_{-k}$ be the weight-$(-k)$ vector appearing in the fibre representation. Vector-valued QUE conjecture. The unique quantum limit of the microlocal lifts $\nu_n$ is

$$v_{-k}^*\otimes v_{-k}\,\frac{dx}{\operatorname{Vol}(X)}.$$

This is proposed as a generalisation of QUE from scalar functions to automorphic sections with values in a representation. The source does not state whether the conjecture has been proved or disproved.