Stable and topological ranks of real-symmetric continuous function algebras

Let $X$ be a compact Hausdorff space, and let $\tau$ be a topological involution of $X$. Denote the set of fixed points of $\tau$ by $E$. The algebra $C(X,\tau)$ is the algebra of continuous functions compatible with this involution. Stable-rank conjecture. One has

$$\operatorname{bsr} C(X,\tau)=\operatorname{tsr} C(X,\tau)=\max\left\{\left[\frac{\operatorname{dim} X}{2}\right],\operatorname{dim} E\right\}+1.$$

This conjecture gives the expected Bass stable rank and topological stable rank in terms of the covering dimension of $X$ and its fixed-point set. The paper states that it was confirmed subsequently, so the conjecture is solved.