Alessandro Vignati : Forcing axioms and Operator algebras: a lifting theorem for reduced products of matrix algebras

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.

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