  In this paper we compute the K-theory (algebraic and topological) and entire
periodic cyclic homology for compact quantum groups, define Chern characters
between them and show that the Chern characters in both topological and
algebraic cases are isomorphisms modulo torsion.
  The case of compact Lie group C*-algebras was treated in&nbsp; <A
HREF="http://www.math.uiuc.edu/K-theory/0257">Non-Commutative Chern characters
of compact Lie groups C*-algebras, 0257</A> , a revised version of which was
accepted for publication in <I>K-Theory.</I>
