Masas in the Calkin algebra without the Continuum Hypothesis

DOI10.1515/jaa.2011.004zbMath1276.03039OpenAlexW2138393595MaRDI QIDQ2865577

Saharon Shelah, Juris Steprāns

Publication date: 2 December 2013

Published in: Journal of Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jaa.2011.004

zbMATH Keywords

Calkin algebraalmost disjoint familymasamaximal abelian self-adjoint subalgebra

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Continuum hypothesis and Martin's axiom (03E50) Linear spaces of operators (47L05)

Related Items (8)

A note on the Akemann-Doner and Farah-Wofsey constructions ⋮ Indestructibility of ideals and MAD families ⋮ On Pospíšil ideals ⋮ Malykhin's problem ⋮ A model with no strongly separable almost disjoint families ⋮ Obstructions to lifting abelian subalgebras of corona algebras ⋮ Separating points by inclusions of \(\mathcal{O}_\infty\) ⋮ MAD families and strategically bounding forcings

Cites Work

• Operators commuting with a von Neumann algebra modulo the set of compact operators
• ℬ( H ) has a pure state that is not multiplicative on any masa

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