ℬ( H ) has a pure state that is not multiplicative on any masa

DOI10.1073/pnas.0801176105zbMath1254.46066OpenAlexW2156845467WikidataQ36535487 ScholiaQ36535487MaRDI QIDQ3075556

Charles A. Akemann, Nikolai Weaver

Publication date: 15 February 2011

Published in: Proceedings of the National Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1073/pnas.0801176105

zbMATH Keywords

Hilbert spacebounded operatorspure state

Mathematics Subject Classification ID

Abstract operator algebras on Hilbert spaces (47L30) States of selfadjoint operator algebras (46L30)

Related Items (9)

Quantum measurable cardinals ⋮ A note on the Akemann-Doner and Farah-Wofsey constructions ⋮ A non-diagonalizable pure state ⋮ Paving small matrices and the Kadison-Singer extension problem. II: Computational results ⋮ Large Irredundant Sets in Operator Algebras ⋮ Classically normal pure states ⋮ A local Ramsey theory for block sequences ⋮ \(C^{*}\)-algebras with and without \(\ll\)-increasing approximate units ⋮ Masas in the Calkin algebra without the Continuum Hypothesis

Cites Work

• Extreme points in sets of positive linear maps on \(\mathcal B (\mathcal H)\)
• Operators commuting with a von Neumann algebra modulo the set of compact operators
• Extensions of Pure States
• Consistency of a counterexample to Naimark's problem

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