2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/58074One introduces the notion of C*-algebra with polarization which could be considered as the quantum Kahler structure. The connection of these algebras with Kostant-Souriou geometric quantization is shown. The theory of polarized C*-algebra is investigated by the use of the coherent states method.pages 29Mathematical Physics81R30, 81R60, 81R15, 32Q15, 46C65, 53D50, 53D55, 46L87text