Möbius disjointness conjecture for exact C*-algebras

Let $\mathfrak{A}$ be a unital exact $C^*$-algebra and let $\alpha$ be an endomorphism of $\mathfrak{A}$. The pair $(\mathfrak{A},\alpha)$ is a noncommutative flow. The Möbius function $\mu$ is linearly disjoint from $(\mathfrak{A},\alpha)$ when, for every state $\rho$ on $\mathfrak{A}$ and every $A\in\mathfrak{A}$,

$$\frac{1}{N}\sum_{n\leq N}\mu(n)\rho(\alpha^n(A))\to 0 \quad\text{as }N\to\infty.$$

Möbius disjointness conjecture for exact C-algebras.* If the Voiculescu–Brown entropy of $(\mathfrak{A},\alpha)$ is zero, then $\mu$ is linearly disjoint from $(\mathfrak{A},\alpha)$.

This is the proposed noncommutative analogue of Sarnak's conjecture, using Voiculescu–Brown entropy for unital exact C*-algebras and endomorphisms. The source provides no resolution status.