Andrew Stocker (CU Boulder) Expansive Dynamical Systems

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Dynamical systems that are expansive form a large class of examples, including all Smale spaces, shift spaces, and finitely presented systems. For Smale spaces it is well known that we can build C*-algebras from the stable, unstable, and homoclinic equivalence relations. However, we wish to extend these constructions to the class of finitely presented systems, for which we will need to use the more refined notion of local conjugacy to study the dynamics. We will be following Klaus Thompsen's work on relatively expansive dynamical systems.