Bellissard's gap labeling conjecture for quasicrystals without magnetic field

Let $\Lambda$ be the quasicrystal with transversal $\Omega_{trans}$, and let $\mathcal{A}_{\theta=0}$ be its twisted groupoid $C^*$-algebra for zero magnetic field. The trace induces the gap-labeling map

$$Tr_*:K_0(\mathcal{A}_{\theta=0})\longrightarrow \mathbb{R}.$$

The set of gap labels is given by

$$\mathbf{**Bellissard's gap labeling conjecture.**} \quad Tr_*(K_0(\mathcal{A}_{\theta=0}))=\int_{\Omega_{trans}} C(\Omega_{trans},\operatorname{\mathbb{Z}}),$$

which is precisely the group generated by the patch frequencies of $\Lambda$. This conjecture predicts that, in the absence of a magnetic field, all gap labels are determined by the transversal and its patch frequencies. The source does not state whether the conjecture has been resolved.