On Fourier orthogonal projections in the rotation algebra

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dc.creatorWalters, Sam
dc.date2000-12-07
dc.date.accessioned2026-07-07T04:39:06Z
dc.date.available2026-07-07T04:39:06Z
dc.descriptionProjections are constructed in the rotation algebra that are orthogonal to their Fourier transform and which are fixed under the flip automorphism. Such projections are expected in a construction of an inductive limit structure for the irrational rotation algebra that is invariant under the Fourier transform. (Namely, as two circle algebras of the same dimension, that are swapped by the Fourier transform, plus a few points.) The calculation is based on Rieffel's construction of the Schwartz space as an equivalence bimodule of rotation algebras as well as on the theory of Theta functions.
dc.description16 pages, preprint
dc.identifierhttps://arxiv.org/abs/math/0012053
dc.identifierhttp://arxiv.org/abs/math/0012053
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60528
dc.subjectOperator Algebras
dc.subjectFunctional Analysis
dc.subject46L80; 46L40
dc.titleOn Fourier orthogonal projections in the rotation algebra
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