Matthias Ludewig (Uni Regensburg)
Topological insulators are certain materials or metamaterials featuring a topological non-triviality in their mathematical description. This feature typically manifests as a non-trivial class in the K-theory of a suitable algebra of observables. We give an introduction to a coarse geometric approach to this topic that emerged quite recently, where so-called Roe algebras function as the underlying observable algebras. We explain several recent results, mostly joint with Guo Chuan Thiang, and highlight some directions of future research.
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