Automorphisms of Toeplitz $\mathcal{B}$-free systems

For each $\mathcal{B}$-free subshift given by $\mathcal{B}=\{2^i{b}_i{\}}_{i\in \mathbb{N}}$, where $\{b_i{\}}_{i\in \mathbb{N}}$ is a set of pairwise coprime odd numbers greater than one, it is shown that its automorphism group consists solely of powers of the shift.