关于移位代数上Fuzzy空间和模的构造
On the construction of fuzzy spaces and modules over shift algebras
摘要：
我们引入移位代数作为某些交叉产品代数的基础上一般函数空间和研究的性质，以及分类，一类特定的模块取决于一组矩阵参数。事实证明，这些模的结构在很大程度上取决于函数空间的性质。此外，对于一类与紧流形相关的子代数，我们给出了相应的模糊空间的构造方法，即随着变形参数趋于零而维数增加的有限维模序列，以及与模糊非紧空间相关的无限维模序列.
英文摘要：
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.
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