Tame or wild Toeplitz shifts
Tame or wild Toeplitz shifts
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DOI：
10.1017/etds.2023.58
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发表时间：
2020-10
影响因子：
0.9
通讯作者：
G. Fuhrmann;J. Kellendonk;R. Yassawi
中科院分区：
文献类型：
--
作者：
G. Fuhrmann;J. Kellendonk;R. Yassawi
摘要研究了Toeplitz移位的驯服性。通过引入扩展的Bratteli-Vershik图的概念，我们证明了有限Toeplitz秩的移位是驯服的当且仅当在最大等度连续因子上有至多可数个奇异纤维轨道.这些想法说明使用类的替代移位。大量的例子表明，我们的结果的假设不能放松。
Abstract We investigate tameness of Toeplitz shifts. By introducing the notion of extended Bratteli–Vershik diagrams, we show that such shifts with finite Toeplitz rank are tame if and only if there are at most countably many orbits of singular fibres over the maximal equicontinuous factor. The ideas are illustrated using the class of substitution shifts. A body of elaborate examples shows that the assumptions of our results cannot be relaxed.