We give a review of our joint work on strict deformation of BHTZ 2+1 black
holes \cite{BRS02,BDHRS03}. However some results presented here are not
published elsewhere, and an effort is made for enlightening the instrinsical
aspect of the constructions. This shows in particular that the three
dimensional case treated here could be generalized to an anti-de Sitter space
of arbitrary dimension provided one disposes of a universal deformation formula
for the actions of a parabolic subgroup of its isometry group.