Remarks on free mutual information and orbital free entropy

Masaki Izumi, Yoshimichi Ueda

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

The present notes provide a proof of i* (CP +C(I - P);CQ+C(I - Q)) = -χorb(P,Q) for any pair of projections P,Q with τ (P) = τ (Q) = 1/2. The proof includes new extra observations, such as a subordination result in terms of Loewner equations. A study of the general case is also given.

Original languageEnglish
Pages (from-to)45-66
Number of pages22
JournalNagoya Mathematical Journal
Volume220
Issue number1
DOIs
Publication statusPublished - 2015

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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