On the split property for inclusions of $W^{*}$-algebras
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- by Francesco Fidaleo PDF
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Abstract:
A characterization of the quasi–split property for an inclusion of $W^*$–algebras in terms of the metrically nuclear maps is established. This result extends the known characterization relative to inclusions of $W^*$–factors. An application to type $I$ von Neumann algebras is also presented.References
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Additional Information
- Francesco Fidaleo
- Affiliation: Dipartimento di Matematica and Centro Interdisciplinare Vito Volterra, II Università di Roma “Tor Vergata”, Via della Ricerca Scientifica, 00133 Roma, Italy
- Email: fidaleo@axp.mat.uniroma2.it
- Received by editor(s): June 8, 2000
- Published electronically: June 8, 2001
- Communicated by: David R. Larson
- © Copyright 2001 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 130 (2002), 121-127
- MSC (2000): Primary 46L37; Secondary 46L07, 46L10
- DOI: https://doi.org/10.1090/S0002-9939-01-06154-8
- MathSciNet review: 1855628