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ISSN 1088-6826(e) ISSN 0002-9939(p)

Conjugate but non inner conjugate subfactors

Author(s): Marie Choda
Journal: Proc. Amer. Math. Soc. 124 (1996), 147-153.
MSC (1991): Primary 46L37; Secondary 46L40
MathSciNet review: 1285982
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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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