Mauldin-Williams graphs and their C*-algebras
Michael Mampusti (University of Wollongong)
Tuesday 26th September, 2017 16:00-17:00 Seminar room 311B
In this talk, we will look at iterated function systems as a framework for the study of fractals, and how Mauldin-Williams graphs generalise such systems for the study of more general fractal sets. Using some key examples, we focus on the dynamics of Mauldin-Williams graphs, and how they give rise to interesting C*-algebras. In particular, we look at how the dynamics of a Mauldin-Williams graph determines the KMS state structure of the associated C*-algberas. The material from this talk forms part of my PhD thesis supervised by David Pask and Aidan Sims.