Ilijas Farah: Massive C*-Algebras, IX. Continuum Hypothesis implies that the Calkin algebra has outer automorphisms

In This Lecture Course

• Ilijas Farah: Massive C*-Algebras, I. The strict topology. The multiplier algebra. Introducing coronas
• Ilijas Farah: Massive C*-Algebras, II. The strict topology. The multiplier algebra. Introducing coronas
• Ilijas Farah: Massive C*-Algebras, III. The corona of every σ-unital C*-algebra is countably degree-1 saturated
• Ilijas Farah: Massive C*-Algebras, IV. Applications and limitations of countable degree-1 saturation
• Ilijas Farah: Massive C*-Algebras, V. Ultrapowers, Łoś’s Theorem, countable saturation
• Ilijas Farah: Massive C*-Algebras, VI. Saturation, tracial ultrapowers
• Ilijas Farah: Massive C*-Algebras, VII. Preliminary analysis of C*-algebras of density character ℵ₁, Downward Lowenheim-Skolem Theorem
• Ilijas Farah: Massive C*-Algebras, VIII. All ultrapowers of a fixed separable C*-algebra are isomorphic
• Ilijas Farah: Massive C*-Algebras, IX. Continuum Hypothesis implies that the Calkin algebra has outer automorphisms
• Ilijas Farah: Massive C*-Algebras, X. Continuum Hypothesis implies that the Calkin algebra has outer automorphisms
• Ilijas Farah: Massive C*-Algebras, XI. Automorphisms of coronas, general remarks on forcing axioms
• Ilijas Farah: Massive C*-Algebras, XII. Introducing OCA
• Ilijas Farah: Massive C*-Algebras, XIII. OCA implies every subset of Part_ℕ of cardinality ℵ₁ is bounded
• Ilijas Farah: Massive C*-Algebras, XIV. OCA implies that every coherent family of unitaries is trivial
• Ilijas Farah: Massive C*-Algebras, XV. Some continuous functional calculus and meager sets in product spaces
• Ilijas Farah: Massive C*-Algebras, XVI. Discretization of the space 𝒟[E] and liftings
• Ilijas Farah: Massive C*-Algebras, XVII. The isometry trick
• Ilijas Farah: Massive C*-Algebras, XVIII. Stabilizers done right and Ulam stability
• Ilijas Farah: Massive C*-Algebras, XIX. From C-measurable ε-approximations to innerness and OCA_∞
• Ilijas Farah: Massive C*-Algebras, XX. Obtaining σ-narrow liftings
• Ilijas Farah: Massive C*-Algebras, XXI. OCA implies all automorphisms of the Calkin algebra are inner
• Ilijas Farah: Massive C*-Algebras, XXII. More on ultrapowers and asymptotic sequence algebras