Jørgensen–Schmitt–Werner conjecture on Wick algebra envelopes

Let $T$ be the operator of coefficients of a Wick algebra $W(T)$ on $d4c=\mathbb C^n$, and let $\mathcal{W}(T)=C^*(W(T))$ be its universal $C^*$-envelope. The operator $T$ is self-adjoint when $T=T^*$, braided when

$$(\mathbf 1\otimes T)(T\otimes\mathbf 1)(\mathbf 1\otimes T)=(T\otimes\mathbf 1)(\mathbf 1\otimes T)(\mathbf 1\otimes T),$$

and $\lVert T\rVert<1$. Jørgensen–Schmitt–Werner conjecture. If $T$ is self-adjoint, braided and $\lVert T\rVert<1$, then

$$\mathcal{W}(T)\simeq\mathcal{W}(0).$$

This conjecture concerns the stability of isomorphism classes of universal $C^*$-envelopes of Wick algebras under these deformations. The supplied text attributes it to an earlier work, but gives no evidence that it has been resolved.