VON NEUMANN ALGEBRA PREDUALS SATISFY THE LINEAR BIHOLOMORPHIC PROPERTY
2016
We prove that for every $\mathrm{JBW}^*$-triple $E$ of rank $>1$, the symmetric part of its predual reduces to zero. Consequently, the predual of every infinite dimensional von Neumann algebra $A$ satisfies the linear biholomorphic property, that is, the symmetric part of $A_*$ is zero.
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