Date:
Thursday 24th May 2007 - 16:00 to 17:00
Venue:
INI Seminar Room 1
Abstract:
We will discuss operator algebras associated with self-similar objects such as graphs, groups and dynamical systems. In particular, we will show how to reconstruct the Julia set of a rational function from its iterated monodromy group (or from the associated countable graph)using C*-algebras. We will also present a formula for the Hausdorff dimension of the Julia set, which suggests that this approach might be useful for constructing (quantized?) calculus on Julia sets.