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Uncountably Many Non-Binary Shifts on the Hyperfinite II1-Factor

Published online by Cambridge University Press:  20 November 2018

Masatoshi Enomoto ,
Marie Choda  and
Yasuo Watatani
Masatoshi Enomoto
Affiliation:
College of Business Administration and Information Science Koshien University, Takarazuka, Hyogo, 665, Japan.
Marie Choda
Affiliation:
Department of Mathematics Osaka Kyoiku University, Tennoji, Osaka, 543, Japan.
Yasuo Watatani
Affiliation:
Department of Mathematics Osaka Kyoiku University, Tennoji, Osaka, 543, Japan.
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Abstract

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We shall construct uncountably many nonconjugate nonbinary shifts with index two on the hyperfinite II1-factor R using rational functions over a finite field.

Keywords

46L10
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 33 , Issue 4 , 01 December 1990 , pp. 423 - 427
Copyright
Copyright © Canadian Mathematical Society 1990

References

1. Bures, D. and Yin, H-S., Shifts on the hyperfinite factor of type II\, to appear in J. Operator Theory.Google Scholar
2. Choda, M., Shifts on the hyperfinite IIX -factor, J. Operator Theory 17 (1987) 223–235.Google Scholar
3. Jones, V. F. R., Index for subfactors, Invent. Math. 72 (1983) 1–25.Google Scholar
4. Kleppner, A., Multipliers on abelian groups, Math. Ann. 158 (1965) 11–34.Google Scholar
5. Powers, R. T., An index theory for semigroups of*-endomorphisms ofB(H) and type II \ -factors, Canad. J. Math. 40 (1988) 86–114.Google Scholar
6. Price, G. L., Shifts on type II\ -factors, Canad. J. Math. 39 ( 1987) 492–511.Google Scholar
7. —, Shifts of integer index on the hyperfinite II\ -factor, Pacific J. Math. 132 (1988) 379–390.Google Scholar
8. Slawny, J., On factor representations and the C* -algebra of canonical commutation relations, Comm. Math. Phys. 24 (1972) 151–170.Google Scholar