标题： 在旋转代数中的傅里叶正交投影 显示英文标题

标题： On Fourier orthogonal projections in the rotation algebra

摘要： 在旋转代数中构造了与它们的傅里叶变换正交的投影，并且这些投影在翻转自同构下是固定的。 这种投影预期在构造一个对傅里叶变换不变的无理旋转代数的归纳极限结构中出现。 (即，两个相同维数的圆代数，它们被傅里叶变换交换，再加上几个点。) 计算基于Rieffel将 Schwartz 空间构造为旋转代数之间的等价双模，以及 Theta 函数理论。 显示英文摘要

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.