On Fourier orthogonal projections in the rotation algebra
算子代数
2007-05-23 v1 泛函分析
摘要
Projections 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.
引用
@article{arxiv.math/0012053,
title = {On Fourier orthogonal projections in the rotation algebra},
author = {Sam Walters},
journal= {arXiv preprint arXiv:math/0012053},
year = {2007}
}
备注
16 pages, preprint