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arXiv · 1309.0982

von Neumann algebra preduals satisfy the linear biholomorphic property

Antonio M. Peralta·Laszlo L. Stachó
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Abstract

We prove that for every 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. This solves a problem posed by M. Neal and B. Russo in [Mathematica Scandinavica, to appear]

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Antonio M. Peralta, Laszlo L. Stachó. 2013-09-04. von Neumann algebra preduals satisfy the linear biholomorphic property. https://arxiv.org/abs/1309.0982

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