Analysis seminar

Karen Strung, Fields Institute, Toronto

“On the classification of C*-algebras associated to minimal dynamical systems”

It is the mandate of the Elliott classification programme to classify separable simple unital nuclear C*-algebras by invariants consisting of K-theory and tracial states. To every minimal dynamical system (X, h) with X compact metrisable, the associated crossed product is an example of a C*-algebra falling under the scope of the classification programme. It has been shown that the subclass associated to systems where X has finite covering dimension and h is uniquely ergodic can be classified by the Elliott invariant. However, in full generality, the question of classification for these C*-algebras remains open. I will discuss my recent work which attempts to move past the uniquely ergodic case.”