关于旋转代数中的Fourier orthogonal projections
On Fourier orthogonal projections in the rotation algebra
摘要：
在旋转代数中构造投影，这些投影与它们的傅里叶变换正交，并且在翻转自同构下是固定的。这样的投影预计在一个建设的归纳极限结构的无理旋转代数下是不变的傅里叶变换。（也就是说，作为两个相同维数的圆代数，通过傅里叶变换交换，再加上几个点。）计算的基础是里费尔的建设施瓦兹空间作为一个等价的双模旋转代数以及理论上的θ函数。
英文摘要：
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.
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