Sidhartha Bhattacharya and Thomas Ward
Ergodic Theory and Dynamical Systems
Abstract. Let X1, X2 be mixing connected algebraic dynamical systems with the Descending Chain Condition. We show that every equivariant continuous map from X1 to X2 is affine (that is, X2 is topologically rigid) if and only if the system X2 has finite topological entropy.