Coarse Geometry and Topological Phases
2019 | journal article. A publication with affiliation to the University of Göttingen.
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- Authors
- Ewert, Eske Ellen ; Meyer, Ralf
- Abstract
- We propose the Roe C∗-algebra from coarse geometry as a model for topological phases of disordered materials. We explain the robustness of this C∗-algebra and formulate the bulk–edge correspondence in this framework. We describe the map from the K-theory of the group C∗-algebra of Zd to the K-theory of the Roe C∗-algebra, both for real and complex K-theory.
- Issue Date
- 2019
- Journal
- Communications in Mathematical Physics
- Organization
- Mathematisches Institut
- ISSN
- 0010-3616; 1432-0916
- Language
- English