Finite entropy characterizes topological rigidity on connected groups

Bhattacharya, S.; Ward, T.

Abstract

Let X, Y be mixing connected algebraic dynamical systems with the Descending Chain Condition. We show that every equivariant continuous map from X to Y is affine (that is, Y is topologically rigid) if and only if the system Y has finite topological entropy.

Citation

Bhattacharya, S., & Ward, T. (2005). Finite entropy characterizes topological rigidity on connected groups. Ergodic Theory and Dynamical Systems, 25(2), 365-373. https://doi.org/10.1017/s0143385704000501

• Journal Article Type: Article
• Publication Date: Apr 1, 2005
• Deposit Date: Oct 12, 2012
• Publicly Available Date: Nov 8, 2012
• Journal: Ergodic Theory and Dynamical Systems
• Print ISSN: 0143-3857
• Electronic ISSN: 1469-4417
• Publisher: Cambridge University Press
• Peer Reviewed: Peer Reviewed
• Volume: 25
• Issue: 2
• Pages: 365-373
• DOI: https://doi.org/10.1017/s0143385704000501
• Public URL: https://durham-repository.worktribe.com/output/1495342