Operator representations of cross product algebras of Podles' quantum   spheres
  Hilbert 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. 
Konrad Schmuedgen and Elmar Wagner