Séminaire Physique mathématique ICJ

Coarse geometry and topological phases

by Ralf Meyer (Georg-August Universität Göttingen)

Fokko du Cloux (Institut Camille Jordan)

Fokko du Cloux

Institut Camille Jordan

Université Lyon 1, Bât. Braconnier, 21 av. Claude Bernard, 69100 Villeurbanne
I propose the Roe C*-algebra from coarse geometry as a model for topological phases of disordered materials. I explain the robustness of this C*-algebra and formulate the bulk-edge correspondence in this framework. I describe the map from the K-theory of the group C*-algebra of Z^d to the K-theory of the Roe C*-algebra, both for real and complex K-theory.
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