an:07041901
Zbl 07041901
Ewert, Eske Ellen; Meyer, Ralf
Coarse geometry and topological phases
EN
Commun. Math. Phys. 366, No. 3, 1069-1098 (2019).
00431245
2019
j
46L80 82D30
Summary: We propose the Roe \({{\mathrm C}^*}\)-algebra from coarse geometry as a model for topological phases of disordered materials. We explain the robustness of this \({{\mathrm C}^*}\)-algebra and formulate the bulk-edge correspondence in this framework. We describe the map from the K-theory of the group \({{\mathrm C}^*}\)-algebra of \({\mathbb {Z}^d}\) to the K-theory of the Roe \({{\mathrm C}^*}\)-algebra, both for real and complex K-theory.