S. Bhattacharya
Finite entropy characterizes topological rigidity on connected groups
Bhattacharya, S.; Ward, T.
Authors
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 | Mar 29, 2024 |
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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Copyright Statement
© Copyright Cambridge University Press 2005. This paper has been published by Cambridge University Press in "Ergodic theory and dynamical systems" (25: 2 (2005) 365-373) http://journals.cambridge.org/action/displayJournal?jid=ETS
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