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Proceedings of the American Mathematical Society

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A class of shifts on the hyperfinite $ {\rm II}\sb 1$ factor


Authors: Donald Bures and Hong Sheng Yin
Journal: Proc. Amer. Math. Soc. 110 (1990), 169-175
MSC: Primary 46L35
DOI: https://doi.org/10.1090/S0002-9939-1990-1013966-X
MathSciNet review: 1013966
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Abstract: We construct and classify up to conjugacy certain shifts on the hyperfinite $ II_{1}$-factor, each being a shift of Jones index $ n$ which fails to be an $ n$-shift. In particular for each prime $ n$ we construct uncountably many such shifts.


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DOI: https://doi.org/10.1090/S0002-9939-1990-1013966-X
Article copyright: © Copyright 1990 American Mathematical Society