Central sequence subfactors and double commutant properties
Abstract
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 between Popa's strong amenability and the double commutant property of the central sequence factor for subfactors as above without assuming the finite depth condition.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 March 1998
 DOI:
 10.48550/arXiv.math/9803043
 arXiv:
 arXiv:math/9803043
 Bibcode:
 1998math......3043K
 Keywords:

 Operator Algebras;
 46L37
 EPrint:
 25 pages, latex. Inter. J. Math. (to appear)