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Relative $ C\sp{\ast} $-sums


Author: S. K. Berberian
Journal: Proc. Amer. Math. Soc. 89 (1983), 117-118
MSC: Primary 46L10
DOI: https://doi.org/10.1090/S0002-9939-1983-0706522-8
MathSciNet review: 706522
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Abstract: A "bounded choice" theorem is proved for $ {\text{A}}{{\text{W}}^ * }$-subalgebras of a $ {{\text{C}}^ * }$-sum.


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

  • [1] S. Berberian, Baer $ * $-rings, Springer, New York, 1972. MR 0429975 (55:2983)
  • [2] -, Expectations in operator algebras, Pacific J. Math. (to appear).
  • [3] -, Normality and embedding of $ {\text{A}}{{\text{W}}^ * }$-algebras, Bull. London Math. Soc. (to appear).
  • [4] J. Dixmier, Les $ {C^ * }$-algèbres et leurs représentations, 2 $ ^{\emph{e}}$ ed., Gauthier-Villars, Paris, 1969. MR 0246136 (39:7442)
  • [5] I. Kaplansky, Projections in Banach algebras, Ann. of Math. (2) 53 (1951), 235-249. MR 0042067 (13:48b)
  • [6] -, Algebras of type. I, Ann. of Math. (2) 56 (1952), 460-472. MR 0050182 (14:291b)

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DOI: https://doi.org/10.1090/S0002-9939-1983-0706522-8
Article copyright: © Copyright 1983 American Mathematical Society

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