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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

On the relative commutants
of subfactors


Authors: M. Khoshkam and B. Mashood
Journal: Proc. Amer. Math. Soc. 126 (1998), 2725-2732
MSC (1991): Primary 46L37
MathSciNet review: 1451814
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Abstract: Let $A\subset B$ be factors generated by a periodic tower $A_{n}\subset B_{n}$ of finite dimensional $C^{*}$-algebras. We prove that for sufficiently large $n$, $A^{\prime }\cap B$ is $*$-isomorphic to a subalgebra of $ A^{\prime }_{n}\cap B_{n}$.


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Additional Information

M. Khoshkam
Affiliation: Department of Mathematics, University of Saskatchewan, 106 Wiggins Road, Saskatoon, Saskatchawan, Canada S7N 5E6
Email: khoshkam@math.usask.ca

B. Mashood
Affiliation: Department of Mathematics, University of Saskatchewan, 106 Wiggins Road, Saskatoon, Saskatchawan, Canada S7N 5E6

DOI: http://dx.doi.org/10.1090/S0002-9939-98-04345-7
PII: S 0002-9939(98)04345-7
Keywords: Subfactors, von Neumann algebras, Jones index, commutant, commuting squares
Received by editor(s): February 11, 1997
Communicated by: Palle E. T. Jorgensen
Article copyright: © Copyright 1998 American Mathematical Society