Property $\textrm {L}$ and asymptotic abelianness for von Neumann algebras of type $\textrm {I}$
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- by Shinzō Kawamura PDF
- Proc. Amer. Math. Soc. 84 (1982), 365-369 Request permission
Abstract:
We prove a correct assertion on Property L for von Neumann algebras of type I: a type I von Neumann algebra $M$ on a separable Hilbert space has Property L if and only if $M$ contains no minimal projection. Furthermore, a correct proof of an assertion on asymptotic abelianness for von Neumann algebras of type I is also given.References
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Additional Information
- © Copyright 1982 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 84 (1982), 365-369
- MSC: Primary 46L10; Secondary 46L50
- DOI: https://doi.org/10.1090/S0002-9939-1982-0640232-X
- MathSciNet review: 640232