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Noncommutative coverings of quantum tori
iteratec GmbH, GER.
Blekinge Institute of Technology, Faculty of Engineering, Department of Mathematics and Natural Sciences. (Mathematics)
2020 (English)In: Mathematica Scandinavica, ISSN 0025-5521, E-ISSN 1903-1807, Vol. 126, no 1, p. 99-116Article in journal (Refereed) Published
Abstract [en]

We investigate a framework for coverings of noncommutative spaces. Furthermore, we study noncommutative coverings of irrational quantum tori and characterize all such coverings that are connected in a reasonable sense.

Place, publisher, year, edition, pages
Mathematica Scandinavica , 2020. Vol. 126, no 1, p. 99-116
Keywords [en]
Free action, noncommutative covering, fundamental group, quantum tori, gauge action, connected, Bogoliubov transformation, Schrödinger representation
National Category
Mathematics Algebra and Logic
Identifiers
URN: urn:nbn:se:bth-17514DOI: 10.7146/math.scand.a-116147ISI: 000546560400007OAI: oai:DiVA.org:bth-17514DiVA, id: diva2:1282177
Funder
Carl Tryggers foundation , CTS16:540
Note

Open access

Available from: 2019-01-24 Created: 2019-01-24 Last updated: 2020-09-07Bibliographically approved

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Noncommutative coverings of quantum tori(313 kB)293 downloads
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Wagner, Stefan

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