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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Locally pre-$C$*-equivalent algebras
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by Wei Wu PDF
Proc. Amer. Math. Soc. 131 (2003), 555-562 Request permission

Abstract:

We prove a weaker form of Cuntz’s theorem: every locally pre-$C^*$-equivalent Banach *-algebra is $C^*$-equivalent. Using this result, we obtain local conditions for the existence of an equivalent $C^*$-norm.
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Additional Information
  • Wei Wu
  • Affiliation: Department of Mathematics, East China Normal University, Shanghai 200062, People’s Republic of China
  • Email: wwu@math.ecnu.edu.cn
  • Received by editor(s): September 27, 2001
  • Published electronically: June 3, 2002
  • Additional Notes: The author was supported in part by Shanghai Priority Academic Discipline
  • Communicated by: David R. Larson
  • © Copyright 2002 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 131 (2003), 555-562
  • MSC (2000): Primary 46K10
  • DOI: https://doi.org/10.1090/S0002-9939-02-06686-8
  • MathSciNet review: 1933347