Details
Originalsprache | Englisch |
---|---|
Seiten (von - bis) | 1069-1098 |
Seitenumfang | 30 |
Fachzeitschrift | Communications in Mathematical Physics |
Jahrgang | 366 |
Ausgabenummer | 3 |
Frühes Online-Datum | 6 Feb. 2019 |
Publikationsstatus | Veröffentlicht - 1 März 2019 |
Extern publiziert | Ja |
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
- Physik und Astronomie (insg.)
- Statistische und nichtlineare Physik
- Mathematik (insg.)
- Mathematische Physik
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in: Communications in Mathematical Physics, Jahrgang 366, Nr. 3, 01.03.2019, S. 1069-1098.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - Coarse Geometry and Topological Phases
AU - Ewert, Eske Ellen
AU - Meyer, Ralf
N1 - Publisher Copyright: © 2019, Springer-Verlag GmbH Germany, part of Springer Nature.
PY - 2019/3/1
Y1 - 2019/3/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85061259047&partnerID=8YFLogxK
U2 - 10.1007/s00220-019-03303-z
DO - 10.1007/s00220-019-03303-z
M3 - Article
AN - SCOPUS:85061259047
VL - 366
SP - 1069
EP - 1098
JO - Communications in Mathematical Physics
JF - Communications in Mathematical Physics
SN - 0010-3616
IS - 3
ER -