The influence of local disorder on the thermodynamics of interacting e
lectrons is studied within the infinite-dimensional disordered Hubbard
model. Using a finite-temperature quantum Monte Carlo method, the ave
raged local moment and staggered susceptibility are calculated and the
magnetic phase diagram at half-filling is constructed. From the avera
ged compressibility in the paramagnetic and antiferromagnetic phase we
determine the metal-insulator transitions of the system. A rich trans
ition scenario is revealed. Quite unexpectedly the disorder is found t
o stabilize the magnetic order in the strong-coupling limit.