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Journal of Mathematical Sciences

, Volume 137, Issue 5, pp 5137–5160 | Cite as

On subfactors with unitary orthonormal bases

  • T. Ceccherini-Silberstein
Article
  • 45 Downloads

Abstract

We study subfactors which have a Pimsner-Popa basis consisting of unitaries. Several examples and counterexamples are discussed. A characterization of this property is given in terms of Jones projections. In the finite-index case, a complete characterization is given in terms of Hopf *-algebras.

Keywords

Orthonormal Basis Conditional Expectation Algebra Structure Cartan Subalgebra Partial Isometry 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media, Inc. 2006

Authors and Affiliations

  • T. Ceccherini-Silberstein
    • 1
  1. 1.Tullio Ceccherini-Silberstein Dipartimento di Matematica “G. Castelnuovo”Università di Roma “La Sapienza”RomaItaly

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