RIGIDITY OF CONTINUOUS QUOTIENTS

DOI10.1017/S1474748014000218MaRDI QIDQ3460402

Saharon Shelah, Ilijas Farah

Publication date: 7 January 2016

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.6689

zbMATH Keywords

continuum hypothesisproper forcing axiomreduced productsasymptotic sequence algebracountable saturation

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Consistency and independence results (03E35) Continuum hypothesis and Martin's axiom (03E50) Models of other mathematical theories (03C65) Generic absoluteness and forcing axioms (03E57)

Related Items (11)

Between reduced powers and ultrapowers, II. ⋮ Rigidity conjectures for continuous quotients ⋮ Obstructions to countable saturation in corona algebras ⋮ CONTINUOUS SENTENCES PRESERVED UNDER REDUCED PRODUCTS ⋮ Between reduced powers and ultrapowers ⋮ Homeomorphisms of Čech–Stone remainders: the zero-dimensional case ⋮ REDUCED PRODUCTS OF METRIC STRUCTURES: A METRIC FEFERMAN–VAUGHT THEOREM ⋮ AN INVITATION TO MODEL THEORY AND C*-ALGEBRAS ⋮ Forcing axioms and coronas of C∗-algebras ⋮ Relative commutants of strongly self-absorbing \(\mathrm{C}^\ast\)-algebras ⋮ Model theory of 𝐶*-algebras

Cites Work

• All automorphisms of the Calkin algebra are inner
• Topometric spaces and perturbations of metric structures
• \(\omega^*\) has (almost) no continuous images
• OCA and automorphisms of \({\mathfrak P}(\omega)/\text{fin}\)
• Dimension phenomena associated with \(\beta \mathbb N\)-spaces
• Multipliers of C -algebras
• The Calkin algebra has outer automorphisms
• A universal continuum of weight $\aleph $
• A DICHOTOMY FOR THE NUMBER OF ULTRAPOWERS
• Repercussions of a Problem of Erdős and Ulam on Density Ideals
• Reduced products and sheaves of metric structures
• Model theory of operator algebras I: stability
• A NONSEPARABLE AMENABLE OPERATOR ALGEBRA WHICH IS NOT ISOMORPHIC TO A -ALGEBRA
• Automorphisms of corona algebras, and group cohomology
• Analytic Ideals

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