Coarse Geometry and Topological Phases

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Autorschaft

  • Eske Ellen Ewert
  • Ralf Meyer

Externe Organisationen

  • Georg-August-Universität Göttingen
Forschungs-netzwerk anzeigen

Details

OriginalspracheEnglisch
Seiten (von - bis)1069-1098
Seitenumfang30
FachzeitschriftCommunications in Mathematical Physics
Jahrgang366
Ausgabenummer3
Frühes Online-Datum6 Feb. 2019
PublikationsstatusVeröffentlicht - 1 März 2019
Extern publiziertJa

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 Sachgebiete

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Coarse Geometry and Topological Phases. / Ewert, Eske Ellen; Meyer, Ralf.
in: Communications in Mathematical Physics, Jahrgang 366, Nr. 3, 01.03.2019, S. 1069-1098.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Ewert EE, Meyer R. Coarse Geometry and Topological Phases. Communications in Mathematical Physics. 2019 Mär 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 ; Jahrgang 366, Nr. 3. S. 1069-1098.
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