Splitting for subalgebras of tensor products
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Abstract:
We prove splitting results for subalgebras of tensor products of operator algebras. In particular, any $C^*$-algebra $C$ s.t. $A\otimes 1 \subseteq C \subseteq A \otimes B$ is a tensor product $A\otimes B_0$ provided $A$ is simple and nuclear.References
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Additional Information
- Joachim Zacharias
- Affiliation: Département de Mathématiques, UFR Université d’Orléans, Rue de Chartres - BP 6759, 45067 Orléans Cedex 2, France
- Address at time of publication: School of Mathematical Sciences, University of Nottingham, University Park, Nottingham, NG7 2RD England
- Email: zacharia@labomath.univ-orleans.fr
- Received by editor(s): April 9, 1999
- Published electronically: July 27, 2000
- Additional Notes: This research was supported by the European Community.
- Communicated by: David R. Larson
- © Copyright 2000 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 129 (2001), 407-413
- MSC (2000): Primary 46L06, 46L45
- DOI: https://doi.org/10.1090/S0002-9939-00-05629-X
- MathSciNet review: 1706957