On the classification of inductive limits of II$_{1}$ factors with spectral gap
On the classification of inductive limits of II$_{1}$ factors with spectral gap
We consider II$_{1}$ factors $M$ which can be realized as inductive limits of subfactors, $N_{n} {\nearrow }M$, having spectral gap in $M$ and satisfying the bi-commutant condition $(N_{n}'{\cap }M)'{\cap }M=N_{n}$. Examples are the enveloping algebras associated to non-Gamma subfactors of finite depth, as well as certain crossed products of McDuff …