A note on the commutants of CSL algebras modulo bimodules

Han, De Guang

doi:10.1090/S0002-9939-1992-1097342-1

A note on the commutants of CSL algebras modulo bimodules
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by De Guang Han

Proc. Amer. Math. Soc. 116 (1992), 707-709

DOI: https://doi.org/10.1090/S0002-9939-1992-1097342-1

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Abstract:

In this note, we show that for any $\sigma$-weakly closed bimodule $M$ of a CSL algebra $A$ satisfying $M \supseteq A$, the commutant of $A$ modulo $M$ is equal to $M$ itself. Theorem 6 provided a result on the cohomology groups of CSL subalgebras of Von Neumann algebras.

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