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On the split property for inclusions of  -algebras
Author(s):
Francesco
Fidaleo
Journal:
Proc. Amer. Math. Soc.
130
(2002),
121-127.
MSC (2000):
Primary 46L37;
Secondary 46L07, 46L10
Posted:
June 8, 2001
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Abstract:
A characterization of the quasi-split property for an inclusion of  -algebras in terms of the metrically nuclear maps is established. This result extends the known characterization relative to inclusions of  -factors. An application to type  von Neumann algebras is also presented.
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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
DOI:
10.1090/S0002-9939-01-06154-8
PII:
S 0002-9939(01)06154-8
Keywords:
Classifications,
factors,
linear spaces of operators
Received by editor(s):
June 8, 2000
Posted:
June 8, 2001
Communicated by:
David R. Larson
Copyright of article:
Copyright
2001,
American Mathematical Society
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