  Let A be an Azumaya algebra over a smooth projective variety X or more
generally, a torsion free coherent sheaf of algebras over X whose generic fiber
is a central simple algebra. We show that generically simple torsion free
A-module sheaves have a projective coarse moduli scheme; it is smooth and even
symplectic if X is an abelian or K3 surface and A is Azumaya. We explain a
relation to the classical theory of the Brandt groupoid.
