Journal of Operator Theory

Volume 32, Issue 1, Summer 1994 pp. 17-29.

AFD factor of type $III_0$ with many isomorphic index 3 subfactors

Authors: Hideki Kosaki
Author institution:Department of Mathematics, University of Colorado at Boulder, Boulder, Colorado 80309-0426, U.S.A. On leave from Graduate School of Mathematics, Kyushu University, Fukuoka, 810, JAPAN

Summary: There exists an $AFD$ factor $M$ of type $III_0$ with uncountably many non-conjugate subfactors $N$ satisfying (i) $M$, $N$ have the same flow of weights, and (ii) $M \supseteqq N$ has principal graph $A_5$.

Keywords: Subfactors, factors of type $III_0$.

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