  Connes and Cuntz showed in [Comm. Math. Phys. 114 (1988), 515-526] that
suitable cyclic cocycles can be represented as Chern characters of finitely
summable semifinite Fredholm modules. We show an analogous result in twisted
cyclic cohomology using Chern characters of modular Fredholm modules. We
present examples of modular Fredholm modules arising from Podle\'s spheres and
from $SU_q(2)$.
