Finite-Hecke-operator arithmetic quantum unique ergodicity conjecture

Let $F$ be the number field in the paper, let $\mathbb{X}_F$ be the associated quotient, and let $\bar{\operatorname{G}}(F)\backslash\bar{\operatorname{G}}(\mathbb{A})$ carry the volume measure $dV(g)$. For an $L^2$-normalized Maass cuspform $f$ on $\mathbb{X}_F$, write $t_f$ for its spectral parameter. Finite-Hecke-operator arithmetic quantum unique ergodicity conjecture. There exists a finite set of primes $S$ such that, if $f$ is also a joint eigenfunction of the $\mathfrak p$th Hecke operator for every $\mathfrak p\in S$, then every weak-$*$ limit of $|f(g)|^2dV(g)$ on $\bar{\operatorname{G}}(F)\backslash\bar{\operatorname{G}}(\mathbb{A})$ is

$$\frac{c}{\operatorname{vol}(\bar{\operatorname{G}}(F)\backslash\bar{\operatorname{G}}(\mathbb{A}))}\,dV(g)$$

for some $c\in[0,1]$ as $t_f\to\infty$. This conjecture seeks to obtain arithmetic quantum unique ergodicity using only finitely many Hecke operators, extending the corresponding result from the rational case to number fields. The source gives no resolution, so the status remains open.