Non-Commutative Chern Characters of Compact Quantum Groups

Abstract

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=&#34;http://www.math.uiuc.edu/K-theory/0257&#34;>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>