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

 

A note on cocycle-conjugate endomorphisms of von Neumann algebras


Author: Remus Floricel
Translated by:
Journal: Proc. Amer. Math. Soc. 132 (2004), 2013-2018
MSC (2000): Primary 46L10, 46L40
Published electronically: January 7, 2004
MathSciNet review: 2053973
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Abstract: We show that two cocycle-conjugate endomorphisms of an arbitrary von Neumann algebra that satisfy certain stability conditions are conjugate endomorphisms, when restricted to some specific von Neumann subalgebras. As a consequence of this result, we obtain a new criterion for conjugacy of Powers shift endomorphisms acting on factors of type $\rm {I}_{\infty}.$


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Additional Information

Remus Floricel
Affiliation: Department of Mathematics and Statistics, University of Ottawa, Ottawa, Ontario, Canada, K1N 6N5
Email: floricel@matrix.cc.uottawa.ca

DOI: http://dx.doi.org/10.1090/S0002-9939-04-07314-9
PII: S 0002-9939(04)07314-9
Keywords: von Neumann algebras, endomorphisms, cocycle-conjugacy, shifts
Received by editor(s): March 17, 2003
Published electronically: January 7, 2004
Communicated by: David R. Larson
Article copyright: © Copyright 2004 American Mathematical Society