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

 

Classification of actions
of discrete amenable groups
on strongly amenable subfactors of type III$_\lambda$


Author: Toshihiko Masuda
Journal: Proc. Amer. Math. Soc. 127 (1999), 2053-2057
MSC (1991): Primary 46L37
Published electronically: February 17, 1999
MathSciNet review: 1487325
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Abstract: Using the continuous decomposition, we classify strongly free actions of discrete amenable groups on strongly amenable subfactors of type III$_\lambda$, $0<\lambda<1$. Winsløw's fundamental homomorphism is a complete invariant. This removes the extra assumptions in the classification theorems of Loi and Winsløw and gives a complete classification up to cocycle conjugacy.


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Additional Information

Toshihiko Masuda
Affiliation: Department of Mathematical Sciences, University of Tokyo, Komaba, Tokyo, 153, Japan
Email: masuda@ms.u-tokyo.ac.jp

DOI: http://dx.doi.org/10.1090/S0002-9939-99-04752-8
PII: S 0002-9939(99)04752-8
Received by editor(s): March 3, 1997
Received by editor(s) in revised form: October 3, 1997
Published electronically: February 17, 1999
Communicated by: Palle E. T. Jorgensen
Article copyright: © Copyright 1999 American Mathematical Society