论文标题
模糊的移位空间
Blur shift spaces
论文作者
论文摘要
在这项工作中，我们提出了一种新型的移位空间，称为Blur Shift Space，可以用单个符号表示整个无限符号。这样的偏移空间是从经典的换档空间构建的，它是通过选择一组无限的许多符号，这些符号将以新的符号表示，然后定义方便的拓扑。我们提出的转变空间是Ott，Tomforde和Willis以及Gonçalves和Royer先前提出的一般想法，这些想法被用来在$ C^*$之间找到与某些班次相关的代数之间的同构。特别是，模糊偏移可以用作经典移位空间的紧凑方案。
In this work we propose a new type of shift spaces, called blur shift spaces, where one can represent with a single symbol an entire set of infinite symbols. Such shift spaces are constructed from classical shift spaces, by choosing some sets of infinitely many symbols that will be represented by a new symbol, and then defining a convenient topology. The shift spaces we are proposing generalize ideas presented previously by Ott, Tomforde and Willis, and by Gonçalves and Royer, which were used to find isomorphism between $C^*$-algebras associated to some classes of shift spaces. In particular, blur shifts can be used as a compactification scheme for classical shift spaces.
