About conjugacy of simple unimodal dynamical systems
The author considers unimodal mappings of the unit interval, such that the period of each cycle is not greater than \(2^n\) and is a divisor of \(2^n\). The number of attractive and repellent cycles of a simple unimodal dynamical system is found. A criterion of topological conjugacy of two such systems is established. This gives a sufficient condition for the isomorphism of the corresponding \(C^*\)-algebras.
scientific article; zbMATH DE number 1668474