  We prove in this paper that the periodic cyclic homology of the quantized
algebras of functions on coadjoint orbits of connected and simply connected Lie
group, are isomorphic to the periodic cyclic homology of the quantized algebras
of functions on coadjoint orbits of compact maximal subgroups, without
localization. Some noncompact quantum groups and algebras were constructed and
their irreducible representations were classified in recent works of Do Ngoc
Diep and Nguyen Viet Hai, and Do Duc Hanh by using deformation quantization. In
this paper we compute their K-groups, periodic cyclic homology groups and their
Chern characters.
