On local representations of von Neumann algebras
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Abstract:
We prove that every bounded, linear, 2-local Hilbert space representation of a von Neumann algebra is a representation. In contrast, 1-local representations may fail to be multiplicative, even at the 2 by 2 matrix algebra level.References
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Additional Information
- Florin Pop
- Affiliation: Department of Mathematics and Computer Science, Wagner College, Staten Island, New York 10301
- MR Author ID: 254337
- Email: fpop@wagner.edu
- Received by editor(s): February 3, 2003
- Received by editor(s) in revised form: May 22, 2003
- Published electronically: July 22, 2004
- Communicated by: David R. Larson
- © Copyright 2004 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 132 (2004), 3569-3576
- MSC (2000): Primary 46L10, 46K10
- DOI: https://doi.org/10.1090/S0002-9939-04-07585-9
- MathSciNet review: 2084078