Coincidence Rank Conjecture for one-dimensional Pisot inflation tilings

Let a one-dimensional Pisot inflation tiling have scaling factor $\lambda$, and let its coincidence rank be the associated coincidence-rank invariant.

Coincidence Rank Conjecture. The coincidence rank of the tiling must divide the algebraic norm of $\lambda$.

This conjecture extends the Homological Pisot Conjecture to the non-unimodular case. The source gives no general proof or disproof.