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CENTRAL SEQUENCE SUBFACTORS AND DOUBLE COMMUTANT PROPERTIES

CENTRAL SEQUENCE SUBFACTORS AND DOUBLE COMMUTANT PROPERTIES

First, we construct the Jones tower and tunnel of the central sequence subfactor arising from a hyperfinite type II 1 subfactor with finite index and finite depth, and prove each algebra has the double commutant property in the ultraproduct of the enveloping II 1 factor. Next, we show the equivalence …