A descriptive set-theoretic view of classification problems in operator algebras


Title:  A descriptive set-theoretic view of classification problems in operator algebras

Speaker:  Asger Törnquist (Copenhagen)

Date:  Tuesday, 26th January 2016

Time:  4pm

Location:  TCD, (Room WR20)

 

Abstract:

In the past 20 years, descriptive set theorists have developed a theory that provides a measure of relative complexity of equivalence relations.  This theory has its roots in classical smooth/non-smooth distinction of Mackey, but provides a much more refined view of the complexity of concrete classification problems.  In recent years, the complexity of classification problems in operator algebras (of von Neumann factors and of nuclear simple separable C* algebras) have been examined from the descriptive set-theoretic perspective.  In this talk, I will give an overview of these developments.


Series:
Analysis