论文标题
关于换档代数的模糊空间和模块的构建
On the construction of fuzzy spaces and modules over shift algebras
论文作者
论文摘要
我们将移动代数作为基于一般函数空间和研究属性的某些交叉产物代数以及特定类别模块的分类，具体取决于一组矩阵参数。事实证明，这些模块的结构以至关重要的方式取决于函数空间的性质。此外，对于一类与紧凑型歧管有关的亚晶状体，我们为相应的模糊空间提供了一个构造程序，即，随着变形参数倾向于零以及与模糊的非组合空间相关的有限尺寸尺寸模块的序列，尺寸增加的尺寸模块。
We introduce shift algebras as certain crossed product algebras based on general function spaces and study properties, as well as the classification, of a particular class of modules depending on a set of matrix parameters. It turns out that the structure of these modules depends in a crucial way on the properties of the function spaces. Moreover, for a class of subalgebras related to compact manifolds, we provide a construction procedure for the corresponding fuzzy spaces, i.e. sequences of finite dimensional modules of increasing dimension as the deformation parameter tends to zero, as well as infinite dimensional modules related to fuzzy non-compact spaces.
