| The Compact Quantum Group Uq（2） （Ⅱ） |
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| 作者姓名： | Xiao Xia ZHANG |
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| 作者单位： | Department of Mathematics, Yantai University, Yantai 264005, P. R. China |
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| 基金项目： | Supported by NSF-Grants 10301004, 10171098 and Yantai University PhD Foundation SX03B14Acknowledgment 0n this occasion, the author is grateful to Professors Guo Maozheng Qian Min for letting him contact Xunwei Zhao＇s article which gives him some ideas. The author also gives his thanks to Professors Bingren Li and Liming Ge for their help and to the referees for their advice. |
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| 摘 要： | In this paper, we first prove that the θ-deformation Uθ（2） of U（2） constructed by Connes and Violette is our special case of the quantum group Uq（2） constructed in our previous paper. Then we will show that the set of truces on the C^＊ -algebra Uθ, θ irrational, is determined by the set of the truces on a subalgebra of Uθ.
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| 关 键 词： | 紧凑量子组 C^＊代数学 余乘法 痕迹 |
| 收稿时间： | 2004-05-13 |
| 修稿时间： | 2004-05-132004-11-12 |
The Compact Quantum Group U
q
(2) (II) |
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| Xiao Xia ZHANG.The Compact Quantum Group U
q
(2) (II)[J].Acta Mathematica Sinica,2006,22(4):1221-1226. |
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| Authors: | Xiao Xia Zhang |
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| Institution: | (1) Department of Mathematics, Yantai University, Yantai 264005, P. R. China |
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| 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
.
Supported by NSF-Grants 10301004, 10171098 and Yantai University PhD Foundation SX03B14 |
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| Keywords: | compact quantum group C*– algebra trace comultiplication |
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