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Construction of a canonical subfactor for an inclusion of factors with a common Cartan subalgebra

Construction of a canonical subfactor for an inclusion of factors with a common Cartan subalgebra

It is shown that for any inclusion of (separable) factors N\subseteq M of finite Jones index possessing a common Cartan subalgebra, there exists a subfactor L of N , an outer action \beta of a finite group G on L and a subgroup H of G such that (N\subseteq M) …