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arXiv · 2501.13088

Every 2-quasitrace is a trace

Alec Gow
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Abstract

A heretofore longstanding open question of Kaplansky was, "Is every Type II_1 AW*-factor a von Neumann algebra?" In this paper, we answer this question in the affirmative. As a consequence, we establish that every 2-quasitrace on a unital C*-algebra is a trace.

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Alec Gow. 2025-01-22. Every 2-quasitrace is a trace. https://arxiv.org/abs/2501.13088

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