论文标题
可逆且无可逆转的符号动力及其c*-ergebras
Invertible and noninvertible symbolic dynamics and their C*-algebras
论文作者
论文摘要
本文调查了符号动力学与C* - 代数之间的相互作用的最新进展。我们解释了如何将双面（可逆）和单方面（不可逆转）符号系统的共轭和轨道等同编码为C* - 代数，以及如何从结构增强的* - c* - algebras的c* - iSomorphisms中恢复动力系统。我们包括许多说明性的例子以及开放问题。
This paper surveys the recent advances in the interactions between symbolic dynamics and C*-algebras. We explain how conjugacies and orbit equivalences of both two-sided (invertible) and one-sided (noninvertible) symbolic systems may be encoded into C*-algebras, and how the dynamical systems can be recovered from structure-preserving *-isomorphisms of C*-algebras. We have included many illustrative examples as well as open problems.
