2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/61857In this contribution to the proceedings of the 68eme Rencontre entre Physiciens Theoriciens et Mathematiciens on Deformation Quantization I shall report on some recent joint work with Henrique Bursztyn on the representation theory of *-algebras arising from deformation quantization as I presented this in my talk.27 pages, uses LaTeX2e with degm.cls. Updated version with minor correctionsQuantum AlgebraMathematical Physics53D55text