A Twisted Version of Controlled K-theory
Hartmann E (2023)
The Journal of Geometric Analysis 33(5): 145.
Zeitschriftenaufsatz
| Veröffentlicht | Englisch
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Abstract / Bemerkung
**Abstract**
There are a number of (co-)homology theories on coarse spaces. Controlled operatorK-theory is by far the most popular one of them. Our approach is geometric. We study when does the Roe-algebra of a space restrict to a subspace. Then we show the Roe-algebra is a cosheaf on the coarse topology. A result is a Mayer–Vietoris exact sequence in the presence of a coarse cover. We compute examples as an application.
There are a number of (co-)homology theories on coarse spaces. Controlled operatorK-theory is by far the most popular one of them. Our approach is geometric. We study when does the Roe-algebra of a space restrict to a subspace. Then we show the Roe-algebra is a cosheaf on the coarse topology. A result is a Mayer–Vietoris exact sequence in the presence of a coarse cover. We compute examples as an application.
Stichworte
Coarse geometry;
Operator K-theory;
Roe-algebra;
Cosheaf;
Mayer–Vietoris
Erscheinungsjahr
2023
Zeitschriftentitel
The Journal of Geometric Analysis
Band
33
Ausgabe
5
Art.-Nr.
145
Urheberrecht / Lizenzen
ISSN
1050-6926
eISSN
1559-002X
Finanzierungs-Informationen
Open-Access-Publikationskosten wurden durch die Universität Bielefeld im Rahmen des DEAL-Vertrags gefördert.
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https://pub.uni-bielefeld.de/record/2990895
Zitieren
Hartmann E. A Twisted Version of Controlled K-theory. The Journal of Geometric Analysis. 2023;33(5): 145.
Hartmann, E. (2023). A Twisted Version of Controlled K-theory. The Journal of Geometric Analysis, 33(5), 145. https://doi.org/10.1007/s12220-022-01167-9
Hartmann, Elisa. 2023. “A Twisted Version of Controlled K-theory”. The Journal of Geometric Analysis 33 (5): 145.
Hartmann, E. (2023). A Twisted Version of Controlled K-theory. The Journal of Geometric Analysis 33:145.
Hartmann, E., 2023. A Twisted Version of Controlled K-theory. The Journal of Geometric Analysis, 33(5): 145.
E. Hartmann, “A Twisted Version of Controlled K-theory”, The Journal of Geometric Analysis, vol. 33, 2023, : 145.
Hartmann, E.: A Twisted Version of Controlled K-theory. The Journal of Geometric Analysis. 33, : 145 (2023).
Hartmann, Elisa. “A Twisted Version of Controlled K-theory”. The Journal of Geometric Analysis 33.5 (2023): 145.
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