Automorphisms of corona algebras, and group cohomology

DOI10.1090/S0002-9947-2014-06146-1zbMath1303.46052arXiv1204.4839MaRDI QIDQ5420128

Samuel Coskey, Ilijas Farah

Publication date: 11 June 2014

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

Full work available at URL: https://arxiv.org/abs/1204.4839

zbMATH Keywords

automorphismcontinuum hypothesisquotient algebraCalkin algebra

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Continuum hypothesis and Martin's axiom (03E50) Automorphisms of selfadjoint operator algebras (46L40)

Related Items (11)

Trivial endomorphisms of the Calkin algebra ⋮ Rigidity conjectures for continuous quotients ⋮ Obstructions to countable saturation in corona algebras ⋮ RIGIDITY OF CONTINUOUS QUOTIENTS ⋮ Isomorphisms of quotients of FDD-algebras ⋮ The Calkin algebra, Kazhdan's property (T), and strongly self‐absorbing C∗$\mathrm{C}^*$‐algebras ⋮ Homeomorphisms of Čech–Stone remainders: the zero-dimensional case ⋮ Trivial automorphisms ⋮ AN INVITATION TO MODEL THEORY AND C*-ALGEBRAS ⋮ Saturation and elementary equivalence of \(C^\ast\)-algebras ⋮ Forcing axioms and coronas of C∗-algebras

Cites Work

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• Some Calkin algebras have outer automorphisms
• Trivial automorphisms
• All automorphisms of the Calkin algebra are inner
• Homogeneity problems in the theory of Cech compactifications
• Proper forcing
• Derivations of matroid C\(^*\)-algebras. II
• Extensions of \(C^*\)-algebras and \(K\)-homology
• Applications of cohomology to set theory. I: Hausdorff gaps
• How many Boolean algebras \({\mathcal P}(\mathbb{N})/{\mathcal I}\) are there?
• All automorphisms of all Calkin algebras
• Les foncteurs dérivés de lim et leurs applications en théorie des modules
• Operator algebras. Theory of \(C^*\)-algebras and von Neumann algebras
• The Calkin algebra has outer automorphisms
• Analytic quotients: theory of liftings for quotients over analytic ideals on the integers
• Countable saturation of corona algebras
• \(C^*\)-algebras by example

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