关于Sofic移位覆盖的结构
动力系统
2011-05-18 v2 算子代数
摘要
引入了一种将左Fischer覆盖推广到任意sofic移位的典范覆盖,并用于证明sofic移位的左Krieger覆盖和过去集覆盖可以划分为自然层次。这些结果被用于寻找流不变量的取值范围,并研究与sofic移位空间相关的通用C*-代数的理想结构。
引用
@article{arxiv.0912.2514,
title = {On the Structure of Covers of Sofic Shifts},
author = {Rune Johansen},
journal= {arXiv preprint arXiv:0912.2514},
year = {2011}
}
备注
To appear in Documenta Mathematica. Section 2 has been shortened. Three sections concerning the layered structure of the left Krieger cover and the past set cover have been merged and rewritten. Non-essential examples have been omitted. 21 pages, 8 figures