On the number of fixed points of sofic flip systems

Young-One Kim, Sieye Ryu

In the case when $X$ is a sofic shift and $\varphi :X\to X$ is a homeomorphism such that ${\varphi }^2={\text{id}}_X$ and $\varphi {\sigma }_X={\sigma }_X^{-1}\varphi$, the number of points in $X$ that are fixed by $σ_X^…