Speaker: Christian F. Skau (Norwegian University of Science and Technology)

Title: Toeplitz flows and their K-theory

Abstract: Toeplitz flows are a family of Cantor minimal dynamical systems that have been extensively studies in topological dynamics. They are in a sense the simplest Cantor minimal systems beyond the odometer systems, to which they are related in an explicit way. By looking at the associated C*-crossed products and their K-theory, a new and fruitful approach was introduced in the study of Toeplitz flows. Besides giving new proofs of earlier results known about these systems, the K-theoretic approach brought about an entirely new perspectives, which in turn led to new results. We will give a survey of all this.