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ISSN 1088-6850(e) ISSN 0002-9947(p)

On the classification of inductive limits of II $_{1}$ factors with spectral gap

Author: Sorin Popa
Journal: Trans. Amer. Math. Soc. 364 (2012), 2987-3000
MSC (2010): Primary 46L10, 46L37
Posted: January 26, 2012
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Abstract: We consider II $_{1}$ factors which can be realized as inductive limits of subfactors, $N_{n} \nearrow M$ , having spectral gap in 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 factors by amenable groups. We use deformation/rigidity theory to obtain classification results for such factors.

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