Place: Fields Institute (Room 210)
Time and date: 01/05/2015 (13:30-15:00)
Speaker: Alessandro Vignati
Title: Forcing axioms and Operator algebras: a lifting theorem for reduced products of matrix algebras
Abstract: Inspired by the work of Farah and others in the application of forcing axioms to operator algebras, we prove a correspondent of a lifting theorem in a continuous setting. Analyzing different kinds of maps from the reduced product of matrix algebra into a corona of a nuclear C*-algebra, we provide different notions of well-behaved lifting, and we show how forcing axioms imply their existence, in contrast to the results obtained under the Continuum Hypothesis. Secondly, we show some consequences of such a behavior. All required definitions will be given. This is joint work with Paul McKenney.