Central Sequences in Subfactors II
Copyright policy )Central Sequences in Subfactors II
We studied in On the existence of central sequences in subfactors [Trans. Amer. Math. Soc. 321 (1990), 117-128] certain ergodicity properties of inclusions of II 1 {\text {II}_1} factors N ⊂ M N \subset M . We give here various explicit examples of pairs of II 1 {\text {II}_1} factors N ⊂ M N \subset M which have or do not have these properties. In particular, we show that if N ⊂ M N \subset M are hyperfinite II 1 {\text {II}_1} factors with finite Jones’s index, then both situations may occur.
- Mathematical Sciences Research Institute United States
Subfactors and their classification, Classifications of \(C^*\)-algebras, General theory of von Neumann algebras, ergodicity properties of inclusions of \(\text{II}_ 1\) factors
Subfactors and their classification, Classifications of \(C^*\)-algebras, General theory of von Neumann algebras, ergodicity properties of inclusions of \(\text{II}_ 1\) factors
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