The fuzzy BTZ

A bstract We introduce a model of noncommutative BTZ black hole, obtained by quantisation Poincaré coordinates together with moving frame. The fuzzy hole carries covariant differential calculus, satisfies Einstein’s equations and has constant negative curvature. construction passes through larger space, the anti-de Sitter, implements discrete identifications as conjugations unitary operator. derive spectrum suitably regularised radial coordinate: it consists continuum scattering states outside horizon r + an infinite set bound inside.