An Analogue of Longo's Canonical Endomorphism for Bimodule Theory and Its Application to Asymptotic Inclusions
1997 ◽
Vol 08
(02)
◽
pp. 249-265
◽
We give an analogous characterization of Longo's canonical endomorphism in the bimodule theory, and by using this, we construct an inclusion of factors of type II 1 from a finite system of bimodules as a parallel construction to that of Longo–Rehren in a type III setting. When the original factors are approximately finite dimensional, we prove this new inclusion is isomorphic to the asymptotic inclusion in the sense of Ocneanu. This solves a conjecture of Longo–Rehren.
1991 ◽
Vol 266
(30)
◽
pp. 20244-20261
◽
1997 ◽
Vol 338
(2)
◽
pp. 183-192
◽
1969 ◽
Vol 21
◽
pp. 1293-1308
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