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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

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

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Minimal primitive ideals of GCR $C^{\ast }$-algebras
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by Philip Green
Proc. Amer. Math. Soc. 73 (1979), 209-210
DOI: https://doi.org/10.1090/S0002-9939-1979-0516466-1

Abstract:

We show that a minimal primitive ideal of a GCR algebra may contain the maximal CCR ideal of the algebra, thus giving a negative answer to a question of J. Dixmier.
References
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Bibliographic Information
  • © Copyright 1979 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 73 (1979), 209-210
  • MSC: Primary 46L05
  • DOI: https://doi.org/10.1090/S0002-9939-1979-0516466-1
  • MathSciNet review: 516466