Coarse Geometry and Topological Phases

Research output: Contribution to journal › Article › Research › peer review

Authors

  • Eske Ellen Ewert
  • Ralf Meyer

External Research Organisations

  • University of Göttingen
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Details

Original languageEnglish
Pages (from-to)1069-1098
Number of pages30
JournalCommunications in Mathematical Physics
Volume366
Issue number3
Early online date6 Feb 2019
Publication statusPublished - 1 Mar 2019
Externally publishedYes

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.

ASJC Scopus subject areas

Cite this

Coarse Geometry and Topological Phases. / Ewert, Eske Ellen; Meyer, Ralf.
In: Communications in Mathematical Physics, Vol. 366, No. 3, 01.03.2019, p. 1069-1098.

Research output: Contribution to journal › Article › Research › peer review

Ewert EE, Meyer R. Coarse Geometry and Topological Phases. Communications in Mathematical Physics. 2019 Mar 1;366(3):1069-1098. Epub 2019 Feb 6. doi: 10.1007/s00220-019-03303-z
Ewert, Eske Ellen ; Meyer, Ralf. / Coarse Geometry and Topological Phases. In: Communications in Mathematical Physics. 2019 ; Vol. 366, No. 3. pp. 1069-1098.
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