Phillips' radius of comparison conjecture for tensor products with C(X)

Let $A$ be a stably finite unital C*-algebra and let $X$ be a compact metric space. The radius of comparison, denoted by ${\operatorname{rc}}$, measures comparison in the Cuntz semigroup of a C*-algebra. Phillips' conjecture.

$${\operatorname{rc}}(A)\leq {\operatorname{rc}}\left(C(X)\otimes A\right)\leq \frac{1}{2}\dim(X)+{\operatorname{rc}}(A)+1.$$

This conjecture proposes upper and lower bounds for the radius of comparison of the tensor product $C(X)\otimes A$, relating it to the covering dimension of $X$ and the radius of comparison of $A$. It extends the known commutative estimate for $C(X)$ and is motivated by the role of comparison theory as a noncommutative dimension theory; its resolution is not specified in the source.