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Finite entropy characterizes topological rigidity on connected groups.

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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