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MR1903399 (2004b:46090) 46L37 (16S35 16W30 46L40)
Izumi, Masaki; Kosaki, Hideki Kac algebras arising from composition of subfactors: general theory and classification. Mem. Amer. Math. Soc. 158 (2002), no. 750, 198 pp.
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