Nikolaev's torsion conjecture for CM elliptic curves

Let $E_{CM}\cong E(K)$ be an elliptic curve with complex multiplication. Let $E_{tors}(K)$ be the finite-order subgroup of $E(K)$. If $K'\supset K$ is a non-trivial extension obtained by adjoining roots of a polynomial $p(x)\in {\mathbb Z}[x]$ with $p(0)=\pm 1$, and $G_A$ is the $AF$-algebra associated to $E_{CM}$ by the Teichmüller functor, define

$$Ab_{x-1}(G_A)={\mathbb Z}^n/(A-I){\mathbb Z}^n,$$

and $Ab_{p(x)}(G_A)={\mathbb Z}^n/p(A){\mathbb Z}^n$. Nikolaev's torsion conjecture.

$$E_{tors}(K)\cong Ab_{x-1}(G_A),\qquad E_{tors}(K')\cong Ab_{p(x)}(G_A).$$

This proposes that torsion points over the base field and over the specified extensions are captured by the corresponding invariants of the associated stationary $AF$-algebra. The source gives no resolution status for this conjecture.