Proceedings of the American Mathematical Society

Author(s): Marie Choda
Journal: Proc. Amer. Math. Soc. 124 (1996), 147-153.
MSC (1991): Primary 46L37; Secondary 46L40
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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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