Iterating the basic construction
Mihai Pimsner and Sorin Popa
Trans. Amer. Math. Soc. 310 (1988), 127-133
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Abstract: Let be a pair of type II factors with finite Jones' index and be the associated tower of type II factors obtained by iterating Jones' basic construction. We give an explicit formula of a projection in which implements the conditional expectation of onto , thus showing that comes naturally from the basic construction associated to the pair . From this we deduce several properties of the relative commutant .
F. R. Jones, Index for subfactors, Invent. Math.
72 (1983), no. 1, 1–25. MR 696688
A. Ocneanu, in preparation.
Pimsner and Sorin
Popa, Entropy and index for subfactors, Ann. Sci. École
Norm. Sup. (4) 19 (1986), no. 1, 57–106. MR 860811
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