Local P entropy and stabilized automorphism groups of subshifts
成果类型：
Article
署名作者：
Schmieding, Scott
署名单位：
University of Denver
刊物名称：
INVENTIONES MATHEMATICAE
ISSN/ISSBN：
0020-9910
DOI：
10.1007/s00222-021-01076-8
发表日期：
2022
页码：
963-995
关键词：
摘要：
For a homeomorphism T : X -> X of a compact metric space X, the stabilized automorphism group Aut((infinity))( T) consists of all self-homeomorphisms of X which commute with some power of T. Motivated by the study of these groups in the context of shifts of finite type, we introduce a certain entropy for groups called local P entropy. We show that when (X, T) is a non-trivial mixing shift of finite type, the local P entropy of the group Aut((infinity))(T) is determined by the topological entropy of (X, T). We use this to give a complete classification of the isomorphism type of the stabilized automorphism groups of full shifts.
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