Conjugate but non inner conjugate subfactors

Choda, Marie

doi:10.1090/S0002-9939-96-02997-8

Conjugate but non inner conjugate subfactors
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Proc. Amer. Math. Soc. 124 (1996), 147-153 Request permission

Abstract:

It is shown that for each $r \in \{4\cos ^{2}(\pi /n): n \ge 3\} \cup [4, \infty ),$ there exist at least infinitely many subfactors of the hyperfinite II$_{1}$ factor $R$ with index $r,$ which are pairwise conjugate but non inner conjugate. In the case that $r$ is an integer, we have uncountably many such subfactors of $R.$

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