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Non-embeddable II$_1$ factors resembling the hyperfinite II$_1$ factor

Non-embeddable II$_1$ factors resembling the hyperfinite II$_1$ factor

We consider various statements that characterize the hyperfinite II _1 factors amongst embeddable II _1 factors in the non-embeddable situation. In particular, we show that “generically” a II _1 factor has the Jung property (which states that every embedding of itself into its ultrapower is unitarily conjugate to the diagonal …