2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/100768The purpose of the present note is two-fold. First, to show that deformations of algebras of smooth functions can be used to construct topologically nontrivial standard central extensions of loop groups. Second, to use noncommutative geometry as a regularization of current algebras in higher dimensions with the aim of constructing representations of current algebras.Minor corrections and added referencesMathematical PhysicsHigh Energy Physics - Theory53D55;22E67; 81R10text