Quotients of `∞(z,z) and Symbolic Covers of Toral Automorphisms
نویسنده
چکیده
This note gives an account of the algebraic construction of symbolic covers and representations of ergodic automorphisms of compact abelian groups. For expansive toral automorphisms this subject was initiated by A.M. Vershik.
منابع مشابه
Markov Partitions and Homoclinic Pointsof
We prove that a general class of expansive Z d-actions by automorphisms of compact, abelian groups with completely positive en-tropy has`symbolic covers' of equal topological entropy. These symbolic covers are constructed by using homoclinic points of these actions. For d = 1 we adapt a result of Kenyon and Vershik in 7] to prove that these symbolic covers are, in fact, sooc shifts. For d 2 we ...
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