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arXiv · 2512.20101

Geometric Aspects of $C^*$-Extreme Points

Neha Hotwani·T. S. S. R. K. Rao
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Abstract

We provide a characterization of the $C^*$-extreme points of the closed unit ball of a von Neumann algebra and demonstrate that $C^*$-extremality is equivalent to both linear extremality and strong extremality. As an application, we characterize certain classes of von Neumann algebras in terms of their $C^*$-extreme points.

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Neha Hotwani, T. S. S. R. K. Rao. 2025-12-23. Geometric Aspects of $C^*$-Extreme Points. https://arxiv.org/abs/2512.20101

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