Abstract
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 .
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Supported by NSF-Grants 10301004, 10171098 and Yantai University PhD Foundation SX03B14
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Zhang, X.X. The Compact Quantum Group U q (2) (II). Acta Math Sinica 22, 1221–1226 (2006). https://doi.org/10.1007/s10114-005-0785-0
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DOI: https://doi.org/10.1007/s10114-005-0785-0