Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On the split property for inclusions of $W^{*}$-algebras
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by Francesco Fidaleo
Proc. Amer. Math. Soc. 130 (2002), 121-127
DOI: https://doi.org/10.1090/S0002-9939-01-06154-8
Published electronically: June 8, 2001

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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Bibliographic 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