  Matrix theory compactifications on tori have associated Yang-Mills theories
on the dual tori with sixteen supercharges. A noncommutative description of
these Yang-Mills theories based in deformation quantization theory is provided.
We show that this framework allows a natural generalization of the `Moyal
B-deformation' of the Yang-Mills theories to non-constant background B-fields
on curved spaces. This generalization is described through Fedosov's geometry
of deformation quantization.
