Forcing axioms and trivial automorphisms of corona algebras
Forcing axioms and trivial automorphisms of corona algebras
Let be a separable, non-unital C*-algebra, and let denote its corona algebra. An automorphism of is trivial if its graph, viewed in the multiplier algebra with the strict topology, is Borel; a nontrivial automorphism is one that is not trivial.
Forcing-axiom conjecture. Forcing axioms imply that has only trivial automorphisms.
This conjecture is the forcing-axiom counterpart to the Continuum Hypothesis assertion: it predicts rigidity of corona algebras under suitable additional set-theoretic axioms. The source does not specify whether it has been resolved.
Sources & referencesView supporting material
Primary source
Samuel Coskey and Ilijas Farah, “Automorphisms of corona algebras, and group cohomology”, arXiv:1204.4839 (2014).
Progress summary
Nothing recorded yet. Refresh searches the literature and the public web for attempts on this problem, and writes the first summary here.
Solutions 0
Sign in to submit a solution.
No solutions have been posted yet.