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Finite entropy characterizes topological rigidity on connected groups

Bhattacharya, S.; Ward, T.

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Authors

S. Bhattacharya

T. Ward



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

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