Bratteli图群值边标号的斜积
Skew-product for group-valued edge labellings of Bratteli diagrams
摘要：
Bratteli图$B$的群值边标号$λ$产生群作用于其上的斜积Bratteli图$B(λ)$。相关动力学的群作用的商可以是$B$动力学的非平凡扩展。我们展示了这个商的Bratteli图，并构造了一个具有唯一路径提升性质的态射到$B$。如果$B(λ)\to B$满足“循环提升到循环”的性质，则这被证明是动态的同构。
英文摘要：
Group valued edge labellings $λ$ of a Bratteli diagram $B$ give rise to a skew-product Bratteli diagram $B(λ)$ on which the group acts. The quotient by the group action of the associated dynamics can be a nontrivial extension of the dynamics of $B$. We exhibit a Bratteli diagram for this quotient and construct a morphism to $B$ with unique path lifting property. This is shown to be an isomorphism for the dynamics if a property `loops lifting to loops' is satisfied by $B(λ)\to B$.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
