The Calkin algebra is not countably homogeneous

DOI10.1090/PROC/13137OpenAlexW2964173233MaRDI QIDQ2827382

Ilan Hirshberg, Ilijas Farah

Publication date: 19 October 2016

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.07455

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Models with special properties (saturated, rigid, etc.) (03C50) Applications of model theory (03C98) Automorphisms of selfadjoint operator algebras (46L40)

Related Items (5)

Obstructions to countable saturation in corona algebras ⋮ The Calkin algebra is \(\aleph_1\)-universal ⋮ The Calkin algebra, Kazhdan's property (T), and strongly self‐absorbing C∗$\mathrm{C}^*$‐algebras ⋮ Homeomorphisms of Čech–Stone remainders: the zero-dimensional case ⋮ AN INVITATION TO MODEL THEORY AND C*-ALGEBRAS

Cites Work

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• Model theory of operator algebras. II: Model theory
• Harmonic analysis on unitary groups
• All automorphisms of the Calkin algebra are inner
• The completely positive lifting problem for \(C^*\)-algebras
• Notes on extensions of \(C^*\)-algebras
• Extensions of \(C^*\)-algebras and \(K\)-homology
• The Calkin algebra has outer automorphisms
• A Simple C^*-Algebra Generated by Two Finite-Order Unitaries
• Some C ∗ -Algebras with a Single Generator
• Strong Extensions vs. Weak Extensions of C^*-Algebras
• Exponential length and traces
• Countable saturation of corona algebras

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