| THE TRACE SPACE INVARIANT AND UNITARY GROUP OF C^＊—ALGEBRA |
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| 作者姓名： | FANG Xiaochun |
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| 作者单位： | Department of |
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| 基金项目： | Project supported by the National Natural Science Foundation of China (No.10271090). |
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| 摘 要： | Let A be a unital C-algebra, n ∈ N ∪ {∞}. It is proved that the isomorphism △n : is isometric for some suitable distances. Asan application, the author has the split exact sequence with iA contractive (and isometric if n = ∞) under certain condition of A.
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| 关 键 词： | 迹空间 不变量 酉群 C^＊代数 同胚群 等距群 同构 自然映射 可裂正合列 |
| 收稿时间： | 6/1/2029 12:00:00 AM |
THE TRACE SPACE INVARIANT AND UNITARY GROUP OF $C^*$-ALGEBRA |
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| FANG Xiaochun.THE TRACE SPACE INVARIANT AND UNITARY GROUP OF $C^*$-ALGEBRA[J].Chinese Annals of Mathematics,Series B,2003,24(1):115-122. |
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| Authors: | FANG Xiaochun |
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| Institution: | Department of Applied Mathematics, Tongji University, Shanghai 200092, China |
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| Abstract: | Let A be a unital C*-algebra, n ∈ N ∪ {∞}. It is proved that the isomorphism △n :Un0(A)/DUn0(A) → AffT(A)/△n0(π1(Un0(A))) is isometric for some suitable distances. Asan application, the author has the split exact sequence 0 → AffT(A)/△n0(π1(Un0(A))) iA→Un(A)/DUn(A) πA→ Un(A)/Un0(A) → 0 with iA contractive (and isometric if n = ∞) under certain condition of A. |
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| Keywords: | Trace space Unitary group C-algebra |
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