F eb 2 00 3 FINITE ENTROPY CHARACTERIZES TOPOLOGICAL RIGIDITY ON CONNECTED GROUPS
نویسندگان
چکیده
Let X 1 , X 2 be mixing connected algebraic dynamical systems with the Descending Chain Condition. We show that every equivariant continuous map X 1 → X 2 is affine (that is, X 2 is topologically rigid) if and only if the system X 2 has finite topolog-ical entropy.
منابع مشابه
Finite entropy characterizes topological rigidity on connected groups
Let X1, X2 be mixing connected algebraic dynamical systems with the descending chain condition. We show that every equivariant continuous map X1 → X2 is affine (that is, X2 is topologically rigid) if and only if the system X2 has finite topological entropy.
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