论文标题
托管系统的熵在残留有限的基团上
Entropy of Toeplitz systems over residually finite groups
论文作者
论文摘要
这项工作的目的是将Toeplitz系统的SOFIC拓扑熵与残留有限的群体结合，并证明Krieger定理关于获得Toeplitz Systems的任意熵。为了实现这些结果，我们讨论了该组有限索引的正常亚组的某些特性。它将帮助我们几乎独立于剩余组的天然SOFIC近似序列来制定结果。
The purpose of this work is to bound sofic topological entropy of Toeplitz systems over residually finite groups and to prove the Krieger Theorem about attaining arbitrary entropy by the Toeplitz systems. To achieve these results, we discuss certain properties of the sofic topological entropy in the context of finitely indexed normal subgroups of the group. It will help us to formulate results almost independently of the natural sofic approximation sequences of residually finite groups.
