青年学术论坛报告

Abstract: Irrational Rotation Algebras had been typical examples of noncommutative
geometry, which can be regarded as a class of noncommutative torus. They
also have their roots in crossed product C*-algebras, and their structures
have been studied with the developments of classification theory for
nuclear simple C*-algebras.

摘要: 无理旋转代数（或者更一般的，非交换环面）是非交换几何中非常经典的例子。过去的数十年里，关于其结构的研究涉及到了拓扑动力系统，叉积C*代数等领域。关于其结构的典型结果之一就是：所有的单的非交换环面（无论其维数多大）都是AT代数。 我们试图定义了广义的无理旋转代数。作为一类广义的非交换环面，我们应用最新的C*代数分类理论来研究其K理论，进而给出了相应的结构描述。