Normal states are determined by their facial distances II

DOI10.1112/blms.12787OpenAlexW4313365468MaRDI QIDQ6096781

Chi-Keung Ng, Yuzhang Chen

Publication date: 15 September 2023

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/blms.12787

zbMATH Keywords

von Neumann algebracenterhyper-finite III$_1$ factornormal semi-finite weighttype III$_1$ part

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Noncommutative measure and integration (46L51) States of selfadjoint operator algebras (46L30)

Cites Work

• Is it possible to determine a point lying in a simplex if we know the distances from the vertices?
• Tingley's problem through the facial structure of operator algebras
• Connes' bicentralizer problem and uniqueness of the injective factor of type \(III_ 1\)
• The flow of weights on factors of type III
• Centralizers and an ordering for faithful, normal states
• Theory of operator algebras. II
• Cartan subalgebras, transverse measures and non-type-I Plancherel formulae
• Normalcy in operator algebras
• States and automorphism groups of operator algebras
• The Radon-Nikodym theorem for von Neumann algebras
• The structure of a von Neumann algebra with a homogeneous periodic state
• Normal states are determined by their facial distances
• The standard form of von Neumann algebras.
• Une classification des facteurs de type ${\rm III}$
• Theory of operator algebras I.

This page was built for publication: Normal states are determined by their facial distances II