3 problems

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The conjecture that the theory of the hyperfinite II $_1$ factor does not admit quantifier simplification
Let $\mathcal R$ denote the hyperfinite II $_1$ factor, and let $\operatorname{Th}(\mathcal R)$ denote its theory. We say that $\operatorname{Th}(\mathcal R)$ admits quantifier simp…
Conjectureopenii-1-factors model-theory operator-algebrasarXiv posted 3 days ago
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Continuum many separable non-embeddable II $_1$ factors with the generalized Jung property
Generalized Jung factor abundance conjecture. There are continuum many non-isomorphic separable non-embeddable II $_1$ factors with the generalized Jung property.
Conjectureopenii-1-factors model-theory operator-algebrasarXiv posted 3 days ago
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Continuum many separable II $_1$ factors with the generalized Jung property
Generalized Jung property conjecture. There are continuum many non-isomorphic separable II $_1$ factors with the generalized Jung property.
Conjectureopenii-1-factors model-theory operator-algebrasarXiv posted 3 days ago

The conjecture that the theory of the hyperfinite II1_11​ factor does not admit quantifier simplification