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  5. THE TRACE SPACE INVARIANT AND UNITARY GROUP OF C*-ALGEBRA

THE TRACE SPACE INVARIANT AND UNITARY GROUP OF C*-ALGEBRA

来源 :数学年刊B辑 | 被引量 : 0次 | 上传用户：wingoH
【摘 要】
：
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
【作 者】
：
方小春 
【机 构】
：
Department of Applied Mathematics
【出 处】
：
数学年刊B辑
【发表日期】
：
2004年期
【关键词】
：
Trace space Unitary group C*-algebra 
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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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