A short note on relative entropy for a pair of intermediate subfactors

2021/05/09 by Keshab Chandra Bakshi, Bakshi, Keshab Chandra
Economics, Econometrics and Finance · Mathematics · #46L37 #Advanced Topology and Set Theory #Economic theories and models #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Dynamics and Fractals #Operator Algebras (math.OA)

paper · pdf · doi:10.48550/arxiv.2105.03914

openalex publication_date 2021/05/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Given a quadruple of finite index subfactors we explicitly compute the Pimsner-Popa probabilistic constant for the pair of intermediate subfactors and relate it with the corresponding Connes-Størmer relative entropy between them. This generalizes an old result of Pimsner and Popa.

Related

• Relative position between a pair of spin model subfactors
• Conjugate pairs of Hadamard subfactors and vertex models
• Finite-sample concentration of the empirical relative entropy around its mean
• Relative Entropy for Quantum Channels
• Sharp Concentration Inequalities for the Centered Relative Entropy