In the framework of C*-algebraic deformation quantization we propose a notion
of deformation groupoid which could apply to known examples e.g. Connes'
tangent groupoid of a manifold, its generalisation by Landsman and Ramazan,
Rieffel's noncommutative torus, and even Landi's noncommutative 4-sphere. We
construct such groupoid for a wide class of T^n-spaces, that generalizes the
one given for C^n by Bellissard and Vittot. In particular, using the geometric
properties of the moment map discovered in the '80s by Atiyah, Delzant,
Guillemin and Sternberg, it provides a \cstar-algebraic deformation
quantization for all toric manifolds, including the 2-sphere and all complex
projective spaces.