2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/104893We introduce and analyse a new type of quantum 2-spheres. Then we apply index theory for noncommutative line bundles over these spheres to conclude that quantum lens spaces are non-crossed-product examples of principal extensions of C*-algebras.6 pagesK-Theory and HomologyOperator Algebrastext