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Comparison of one-sided modules. (English) Zbl 1255.46029

Summary: Given an inclusion \(N\subset M\) of \(\text{II}_{1}\) factors with trivial relative commutant, this paper lists all operators \(x,y\in M\) such that the left \(N\)-module generated by \(x\) is equal to or contained in the right \(N\)-module generated by \(y\).

MSC:

46L10 General theory of von Neumann algebras
46L37 Subfactors and their classification
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