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dc.contributor.advisorLuef, Franz
dc.contributor.authorEnstad, Ulrik Bo Rufus
dc.date.accessioned2016-06-27T14:00:44Z
dc.date.available2016-06-27T14:00:44Z
dc.date.created2016-06-01
dc.date.issued2016
dc.identifierntnudaim:13009
dc.identifier.urihttp://hdl.handle.net/11250/2394273
dc.description.abstractA link between noncommutative geometry and time-frequency analysis is used to show that the TKNN equation violates existence results for Gabor frames with atoms in the Schwartz space. In particular, we use that the Schwartz space is an equivalence bimodule between smooth noncommutative tori associated to $\theta$ and $-1/\theta$. As a consequence, projections in smooth noncommutative tori correspond to tight Gabor frames generated by Schwartz functions. We calculate the trace and the Connes-Chern number of these projections and show that these provide counterexamples to the TKNN equation for rational smooth noncommutative tori.
dc.languageeng
dc.publisherNTNU
dc.subjectMatematikk (for international students), -
dc.titleRational Noncommutative Tori and Gabor Frames
dc.typeMaster thesis
dc.source.pagenumber94


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