  We compute the center and Azumaya locus in the simplest non-abelian examples
of quantized multiplicative quiver varieties at a root of unity: quantum Weyl
algebras of rank $N$, and quantum differential operators on the quantum group
$\mathrm{GL}_2$. These examples illustrate in elementary terms much more
general phenomena explored further in [Ganev-Jordan-Safronov 2019].
