2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/55714In Strominger's proposal for the computation of the statistical entropy of black holes based on the asymptotic symmetry analysis of Brown and Henneaux a fundamental role is played by the asymptotic conditions that the considered metric must satisfy at infinity. Here it is shown that $T$-duality does not preserve such conditions. This observation is used to discuss a possible reformulation of the proposal.6pp Latex2e. v2: refences and acknowledgments addedHigh Energy Physics - TheoryDuality in the BTZ Black Hole and the Statistical Entropytext