Dynamic Asymptotic Dimension

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Date 22.10.2015
Hour 14:0015:00
Speaker Rufus Willett (Hawaii)
Location
Category Conferences - Seminars
I'll introduce the notion in the title. Motivated by Gromov’s asymptotic dimension, we introduce a property of topological dynamical systems that measures how many 'finite pieces' a given action can be (locally) decomposed into. The property is a 'finite dimensional' version of amenability for actions, in much the same way as asymptotic dimension is a 'finite dimensional version' of Yu's property A. I'll give some examples, and briefly sketch applications to controlled topology, K-theory computations, and C*-algebra theory (without assuming any knowledge of the latter subjects).
This is based on joint work with Erik Guentner and Guoliang Yu.

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  • General public
  • Free

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