The legacy of Vaughan Jones in 𝐼𝐼₁ factors

Popa, Sorin

doi:10.1090/bull/1805

The legacy of Vaughan Jones in $\mathrm {II}_1$ factors
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by Sorin Popa;

Bull. Amer. Math. Soc. 60 (2023), 445-458

DOI: https://doi.org/10.1090/bull/1805

Published electronically: July 5, 2023

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Abstract:

We describe Vaughan Jones’s ground-breaking discovery that symmetries of $\mathrm {II}_1$ factors, as encoded by their subfactors, are quantized and have a natural index that can be non-integral. We then comment on the impact his revolutionary work had in the study of $\mathrm {II}_1$ factors.

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