Free Mutual Information for Two Projections

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Abstract

The present paper provides a proof of \(i^*(\mathbb {C}P+\mathbb {C}(I-P); \mathbb {C}Q+\mathbb {C}(I-Q))=-\chi _{{ orb}}(P,Q)\) for two projections PQ without any extra assumptions. An analytic approach is adopted to the proof, based on a subordination result for the liberation process of symmetries associated with PQ.

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© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  1. 1.College of Business AdministrationQassim UniversityBuraydahSaudi Arabia
  2. 2.Laboratoire d’Analyse Mathématiques et Applications LR11ES11Université de Tunis El-ManarTunisTunisia

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