We give a description of the link between topological dynamical systems and their dimension groups. The focus is on minimal systems and, in particular, on substitution shifts. We describe in detail the various classes of systems including Sturmian shifts and interval exchange shifts. This is a preliminary version of a book which will be published by Cambridge University Press. Any comments are of course welcome.

中文翻译：

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维组和动力系统

我们描述了拓扑动力系统与其维群之间的联系。重点是最小系统，特别是替代转移。我们详细描述了各种类型的系统，包括 Sturmian 转换和间隔交换转换。这是一本将由剑桥大学出版社出版的书的初步版本。当然欢迎任何评论。