Index for von Neumann algebras with finite dimensional centers

DOI10.2977/prims/1195168432zbMath0826.46051OpenAlexW1982217704MaRDI QIDQ1328872

Tamotsu Teruya

Publication date: 27 November 1995

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195168432

zbMATH Keywords

density matricesrelative entropytensor productsvon Neumann algebrasConnes' spatial Radon-Nikodym derivativescrossed products by finite groupsfaithful normal states of von Neumann algebrasJones' index theory to pairs of arbitrary factorsnormal faithful conditional expectationsoperator-valued weight

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Noncommutative dynamical systems (46L55) Subfactors and their classification (46L37) Measures of information, entropy (94A17) States of selfadjoint operator algebras (46L30)

Related Items (4)

A planar algebraic description of conditional expectations ⋮ Entropic order parameters for the phases of QFT ⋮ Minimal index and dimension for 2-\(C^*\)-categories with finite-dimensional centers ⋮ Proof of the universal density of charged states in QFT

Cites Work

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• Relative entropy for states of von Neumann algebras. II
• Minimizing indices of conditional expectations onto a subfactor
• Index of subfactors and statistics of quantum fields. I
• Index for subfactors
• Index for 𝐶*-subalgebras
• Entropy and index for subfactors

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