Some Calkin algebras have outer automorphisms

DOI10.1007/S00153-013-0329-8zbMath1291.03097arXiv1211.4134OpenAlexW2129037541MaRDI QIDQ365675

Ernest Schimmerling, Ilijas Farah, Paul E. Mckenney

Publication date: 9 September 2013

Published in: Archive for Mathematical Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.4134

zbMATH Keywords

continuum hypothesisnonseparableCalkin algebra

Mathematics Subject Classification ID

Continuum hypothesis and Martin's axiom (03E50) Applications of set theory (03E75) Automorphisms of selfadjoint operator algebras (46L40)

Related Items (5)

Trivial endomorphisms of the Calkin algebra ⋮ Isomorphisms of quotients of FDD-algebras ⋮ AN INVITATION TO MODEL THEORY AND C*-ALGEBRAS ⋮ Automorphisms of corona algebras, and group cohomology ⋮ Automorphisms of $\mathcal P(\lambda )/\mathcal I_\kappa $

Cites Work

• Unnamed Item
• All automorphisms of the Calkin algebra are inner
• Homogeneity problems in the theory of Cech compactifications
• Proper forcing
• OCA and automorphisms of \({\mathfrak P}(\omega)/\text{fin}\)
• All automorphisms of all Calkin algebras
• The Calkin algebra has outer automorphisms
• PFA Implies all Automorphisms are Trivial

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