Cocycle conjugacy classes of binary shifts. (English) Zbl 1370.46045
Summary: We show that every binary shift on the hyperfinite \(\mathrm{II}_1\) factor \( R\) is cocycle conjugate to at least countably many non-conjugate binary shifts. This holds in particular for binary shifts of infinite commutant index.
MSC:
| 46L55 | Noncommutative dynamical systems |
| 46L10 | General theory of von Neumann algebras |
| 46L36 | Classification of factors |
References:
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