A note on cocycle-conjugate endomorphisms of von Neumann algebras
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- by Remus Floricel PDF
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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 $\rm {I}_{\infty }.$References
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Additional Information
- Remus Floricel
- Affiliation: Department of Mathematics and Statistics, University of Ottawa, Ottawa, Ontario, Canada, K1N 6N5
- MR Author ID: 712888
- Email: floricel@matrix.cc.uottawa.ca
- Received by editor(s): March 17, 2003
- Published electronically: January 7, 2004
- Communicated by: David R. Larson
- © Copyright 2004 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 132 (2004), 2013-2018
- MSC (2000): Primary 46L10, 46L40
- DOI: https://doi.org/10.1090/S0002-9939-04-07314-9
- MathSciNet review: 2053973