Let $\mathcal{M}$ be a finite dimensional von Neumann algebra, then : $$\mathcal{M} \simeq \bigoplus_i M_{n_i}(\mathbb{C})$$

Question : Is it singly generated (as von Neumann algebra)? how ?

Allowed operations : $() \mapsto I$ , $(A) \mapsto \lambda A$ or $\mathbf{A^*}$ and $(A,B) \mapsto A+B$ or $A B$