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Self-similar graphs, algebra and fractals

Nekrashevych, V (Texas A\&M)
Thursday 24 May 2007, 16:00-17:00

Seminar Room 1, Newton Institute


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.


[pdf ]



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