Open Access
December 2015 Remarks on free mutual information and orbital free entropy
Masaki Izumi, Yoshimichi Ueda
Nagoya Math. J. 220: 45-66 (December 2015). DOI: 10.1215/00277630-3335530


The present notes provide a proof of i(CP+C(IP);CQ+C(IQ))=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.


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Masaki Izumi. Yoshimichi Ueda. "Remarks on free mutual information and orbital free entropy." Nagoya Math. J. 220 45 - 66, December 2015.


Received: 19 August 2013; Revised: 17 April 2014; Accepted: 11 September 2014; Published: December 2015
First available in Project Euclid: 1 December 2015

zbMATH: 1348.46064
MathSciNet: MR3429724
Digital Object Identifier: 10.1215/00277630-3335530

Primary: 46L54
Secondary: 94A17

Keywords: Free mutual information , free SDE , liberation process , Loewner equation , orbital free entropy

Rights: Copyright © 2015 Editorial Board, Nagoya Mathematical Journal

Vol.220 • December 2015
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