Coarse geometry and topological phases
Mathematical Physics
2019-04-30 v1 K-Theory and Homology
math.MP
Operator Algebras
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 Z^d to the K-theory of the Roe C*-algebra, both for real and complex K-theory.
Keywords
Cite
@article{arxiv.1802.05579,
title = {Coarse geometry and topological phases},
author = {Eske Ellen Ewert and Ralf Meyer},
journal= {arXiv preprint arXiv:1802.05579},
year = {2019}
}