Geometric Aspects of $C^*$-Extreme Points
Operator Algebras
2025-12-24 v1
Abstract
We provide a characterization of the -extreme points of the closed unit ball of a von Neumann algebra and demonstrate that -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 -extreme points.
Keywords
Cite
@article{arxiv.2512.20101,
title = {Geometric Aspects of $C^*$-Extreme Points},
author = {Neha Hotwani and T. S. S. R. K. Rao},
journal= {arXiv preprint arXiv:2512.20101},
year = {2025}
}
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