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

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A Galois type theorem in von Neumann algebras
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by Hisashi Choda PDF
Proc. Amer. Math. Soc. 115 (1992), 415-417 Request permission

Abstract:

We shall give a simple proof for a Galois type theorem: Let $\alpha$ be a dual free action of a discrete group ${\text {G}}$ on a factor $M$. If an automorphism $\theta$ of $M$ leaves the fixed point algebra ${M^\alpha }$ pointwise invariant then there exists a ${g_0} \in G$ with $\theta = {\alpha _{{g_0}}}$.
References
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Additional Information
  • © Copyright 1992 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 115 (1992), 415-417
  • MSC: Primary 46L55; Secondary 46L40
  • DOI: https://doi.org/10.1090/S0002-9939-1992-1081090-8
  • MathSciNet review: 1081090