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THE TRACE SPACE INVARIANT AND UNITARY GROUP OF C-ALGEBRA

THE TRACE SPACE INVARIANT AND UNITARY GROUP OF C-ALGEBRA
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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.
作者 FANG XIAOCHUN
机构地区 Department of Applied Mathematics
出处 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2003年第1期115-122,共8页 数学年刊（B辑英文版）
基金 Project supported by the National Natural Science Foundation of China (No.10271090).
关键词 Trace space Unitary group C-ALGEBRA 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
分类号 O177.5 [理学—基础数学]
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参考文献12

  • 1de la Harpe, P. & Skandalis, G., Dèterminant Associèáune Trace sur une Algebrè de Banach, Ann. Inst. Fourier (Grenoble), 34:1(1984), 169-202.
  • 2Blackadar, B., K-theory for operator algebras, Springer-Verlag, New York, 1986.
  • 3Elliott, G. A., On the Classification of C*-algenras of real rank zero, J. Reine Angew. Math., 443(1993),179-219.
  • 4Elliott, G. A., Gong, G. & Li, L., On the classification of simple inductive limit C*-algebras, Ⅱ, The isomorphism theorem, preprint.
  • 5Elliott, G. A. & Fang, X., Simple inductive limits of C*-algebras with building blocks from spheres of odd dimension, Contemp. Math., Operator Algebra and Operator Theory, 228(1998), 79-86.
  • 6Fang, X., The simplicity and real rank zero property of the inductive limit of continuous trace C*algebras, Analysis, 1999.
  • 7Lin, H., Almost multiplicative morphisms and some applications, J. Operator Theory, 37(1997), 121-154.
  • 8Rieffel, M., Dimension and stable rank in the K-theory of C*-algebras, Proc. London Math. Soc., 46(1983), 301-333.
  • 9Rordam, M., Classification of inductive limits of Cuntz algebras, J. Reine Angew. Math., 440(1993),175-200.
  • 10Thomsen, K., Diagonalization in inductive limits of circle algebras, J. Operator Theory, 27(1992),325-340.
Chinese Annals of Mathematics,Series B
2003年 第1期

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