We realize quantized anti de Sitter space black holes, building Connes
spectral triples, similar to those used for quantized spheres but based on
Universal Deformation Quantization Formulas (UDF) obtained from an oscillatory
integral kernel on an appropriate symplectic symmetric space. More precisely we
first obtain a UDF for Lie subgroups acting on a symplectic symmetric space M
in a locally simply transitive manner. Then, observing that a curvature
contraction canonically relates anti de Sitter geometry to the geometry of
symplectic symmetric spaces, we use that UDF to define what we call
Dirac-isospectral noncommutative deformations of the spectral triples of
locally anti de Sitter black holes. The study is motivated by physical and
cosmological considerations.Comment: 24 pages, to appear in Contemporary Mathematics (AMS) in the volume
of the proceedings of the conference Poisson 2006 held at Keio Univ (Japan
