Finite entropy characterizes topological rigidity on connected groups

Siddhartha Bhattacharya, Thomas Ward

Research output: Contribution to journalArticle

6 Citations (Scopus)

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.
Original languageEnglish
Pages (from-to)365-373
Number of pages9
JournalErgodic Theory and Dynamical Systems
Volume25
Issue number2
DOIs
Publication statusPublished - 2005

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