## 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

### Keywords:

von Neumann algebra; normalizer; module
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