Iterating the basic construction
Authors: Mihai Pimsner and Sorin Popa
Journal: Trans. Amer. Math. Soc. 310 (1988), 127-133
MSC: Primary 46L35
MathSciNet review: 965748
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 .
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