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On isomorphisms of inductive limit $ C\sp *$-algebras


Author: Klaus Thomsen
Journal: Proc. Amer. Math. Soc. 113 (1991), 947-953
MSC: Primary 46L05
DOI: https://doi.org/10.1090/S0002-9939-1991-1087472-1
MathSciNet review: 1087472
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Abstract: We prove that for a large class of inductive limit $ {C^*}$-algebras, including inductive limits of finite direct sums of interval and circle algebras, any $ *$-isomorphism is induced from an approximate intertwining, in the sense of Elliott, between the inductive systems defining the algebras.


References [Enhancements On Off] (What's this?)

  • [1] O. Bratteli, Inductive limits of finite dimensional $ {C^*}$-algebras, Trans. Amer. Math. Soc. 171 (1972), 195-234. MR 0312282 (47:844)
  • [2] E. G. Effros and J. Kaminker, Homotopy continuity and shape theory for $ {C^*}$-algebras, Geometric Methods in Operator Algebras (H. Araki and E. G. Effros, eds.), Pitman Research Notes in Math. Ser. 123, Longman Scientific & Technical, 1986. MR 866493 (88a:46082)
  • [3] G. A. Elliott, On the classification of $ {C^*}$-algebras of real rank zero, preprint.

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DOI: https://doi.org/10.1090/S0002-9939-1991-1087472-1
Article copyright: © Copyright 1991 American Mathematical Society

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