Bhattacharya, S. and Ward, T. (2005) 'Finite entropy characterizes topological rigidity on connected groups.', Ergodic theory and dynamical systems., 25 (2). pp. 365-373.
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.
| Item Type: | Article |
|---|---|
| Full text: | PDF - Published Version (112Kb) |
| Status: | Peer-reviewed |
| Publisher Web site: | http://dx.doi.org/10.1017/S0143385704000501 |
| Publisher 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 |
| Record Created: | 18 Oct 2012 16:35 |
| Last Modified: | 08 Nov 2012 11:10 |
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