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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Weak expectations and injectivity in operator algebras
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by Bruce E. Blackadar
Proc. Amer. Math. Soc. 68 (1978), 49-53
DOI: https://doi.org/10.1090/S0002-9939-1978-0467329-0

Abstract:

An example is given of a noninjective von Neumann algebra M on a separable Hilbert space $\mathcal {H}$ for which there exists a weak expectation of $\mathcal {L}(\mathcal {H})$ into M. Some positive results about weak expectations are also obtained.
References
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Bibliographic Information
  • © Copyright 1978 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 68 (1978), 49-53
  • MSC: Primary 46L05
  • DOI: https://doi.org/10.1090/S0002-9939-1978-0467329-0
  • MathSciNet review: 0467329