Lück–Sauer–Wegner conjecture on measure-equivalent groups and L2-torsion

Let $\Gamma$ and $\Lambda$ be det-$L^2$-acyclic groups, meaning that their $L^2$-torsion is defined. Assume that $\Gamma$ and $\Lambda$ are measure equivalent of index $c$.

Lück–Sauer–Wegner conjecture. Their $L^2$-torsions satisfy

$$\rho^{(2)}(\Gamma)=c\cdot\rho^{(2)}(\Lambda).$$

This conjecture proposes that $L^2$-torsion transforms by the measure-equivalence index, in analogy with the scaling formula for $L^2$-Betti numbers. The supplied text does not state whether the conjecture has been resolved.