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In this paper we review the properties of the black hole entropy in the lightof a general conformal field theory treatment. We find that the properties ofhorizons of the BTZ black holes in ADS_{3}, can be described in terms of aneffective unitary CFT_{2} with central charge c=1 realized in terms of theFubini-Veneziano vertex operators.  It is found a relationship between the topological properties of the blackhole solution and the infinite algebra extension of the conformal group in 2D,SU(2,2), i.e. the Virasoro Algebra, and its subgroup SL(2,Z) which generatesthe modular symmetry. Such a symmetry induces a duality for the black holesolution with angular momentum J\neq 0. On the light of such a global symmetrywe reanalyze the Cardy formula for CFT_{2} and its possible generalization toD>2 proposed by E. Verlinde.Comment: 21 page

A CFT DESCRIPTION OF THE BTZ BLACK HOLE: TOPOLOGY VERSUS GEOMETRY (OR THERMODYNAMICS VERSUS STATISTICAL MECHANICS)