The Compact Quantum Group U q (2) (II)

In this paper, we first prove that the θ-deformation U θ (2) of U(2) constructed by Connes and Violette is our special case of the quantum group U q (2) constructed in our previous paper. Then we will show that the set of traces on the C*–algebra U θ , θ irrational, is determined by the set of the traces on a subalgebra of U θ .