David Gao

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20242026

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math.OA2025

Elementary embeddings into ultrapower $II_{1}$ factors without a UCP lift

David Gao, David Jekel

We show that there are $II_{1}$ factors $M$ and elementary embeddings $M \to M^{U}$ which do not lift to sequences of UCP maps, and in fact $M$ can be chosen from…

math.OA2025

3-handle construction on II $_{1}$ factors

David Gao, Srivatsav Kunnawalkam Elayavalli, Gregory Patchell

We find a subtle modification to the construction of Chifan-Ioana-Kunnawalkam Elayavalli, which yields a drastic simplification of the proof of the existence of two non Gamma non e…

Elementary embeddings into ultrapower II1​ factors without a UCP lift

3-handle construction on II1​ factors

Elementary embeddings into ultrapower $II_{1}$ factors without a UCP lift

3-handle construction on II $_{1}$ factors