Toronto Set Theory

Event Information Forcing axioms and Operator algebras: a lifting theorem for reduced products of matrix algebras
13:30 on Friday May 01, 2015
15:00 on Friday May 01, 2015
FI210, Fields Institute, 222 College St.
Alessandro Vignati

York University

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.