2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/66060Hilbert space representations of the cross product *-algebra of the Hopf *-algebra U_q(su_2) and its module *-algebras O(S^2_{qc}) of Podles' spheres are studied. Two classes of representations are described by explicit formulas for the actions of the generators.15 pagesQuantum AlgebraOperator Algebras17B37; 81R50; 46L86Operator representations of cross product algebras of Podles' quantum spherestext