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Rendiconti del Circolo Matematico di Palermo

, Volume 55, Issue 1, pp 21–28 | Cite as

A note on faithful traces on a von Neumann algebra

  • F. Bagarello
  • C. Trapani
  • S. Triolo
Article

Abstract

In this short note we give some techniques for constructing, starting from asufficient family ℱ of semifinite or finite traces on a von Neumann algebraM, a new trace which is faithful.

2000 Mathematics Subject Classification

Primary 46L08 Secondary 46L51, 47L60 

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References

  1. [1]
    Bagarello F., Trapani C., Triolo S.,Quasi *-algebras of mesurable operators, Studia Math.172 (2006), 249–273.MathSciNetCrossRefGoogle Scholar
  2. [2]
    Takesaki M.,Theory of Operator Algebras.I, Springer-Verlag, New York, 1979.MATHGoogle Scholar

Copyright information

© Springer 2006

Authors and Affiliations

  1. 1.Dipartimento di Metodi e Modelli MatematiciUniversità di Palermo, Facoltà d’IngegneriaPalermoItaly
  2. 2.Dipartimento di Matematica ed ApplicazioniUniversità di PalermoPalermoItaly
  3. 3.Dipartimento di Matematica ed ApplicazioniUniversità di PalermoPalermoItaly

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