Closedness of index values for subfactors
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- by David Handelman and Hans Wenzl PDF
- Proc. Amer. Math. Soc. 101 (1987), 277-282 Request permission
Abstract:
Let $\left \{ {{A_i} \subset {B_i}} \right \}$ be a collection of inclusions of finite factors with the indices $\left \{ {\left [ {{B_i}:{A_i}} \right ]} \right \}$ bounded and each with trivial relative commutant. Then any ${W^ * }$ ultraproduct yields an inclusion with trivial relative commutant whose index is the ultralimit of $\left \{ {\left [ {{B_i}:{A_i}} \right ]} \right \}$. In particular, the set of values of indices arising from pairs of factors with trivial relative commutant is a closed subset of ${{\mathbf {R}}^ + }$.References
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Additional Information
- © Copyright 1987 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 101 (1987), 277-282
- MSC: Primary 46L35
- DOI: https://doi.org/10.1090/S0002-9939-1987-0902541-0
- MathSciNet review: 902541