A short proof of a decomposition theorem of a von Neumann algebra
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- by M. Awami and A. B. Thaheem PDF
- Proc. Amer. Math. Soc. 92 (1984), 81-82 Request permission
Abstract:
Let $M$ be a von Neumann algebra and $S$ and $T$ be commuting $^*$-auto-morphisms on $M$ satisfying the equation: $S + {S^{ - 1}} = T + {T^{ - 1}}$. It is proved that $M$ can be decomposed by a central projection $p$ in $M$ such that $S = T$ on $Mp$ and $S = {T^{ - 1}}$ on $M(1 - p)$.References
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Additional Information
- © Copyright 1984 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 92 (1984), 81-82
- MSC: Primary 46L40; Secondary 46L10
- DOI: https://doi.org/10.1090/S0002-9939-1984-0749896-5
- MathSciNet review: 749896