ARITHMETIC CONSTRUCTION OF SOFIC PARTITIONS OF HYPERBOLIC TORAL AUTOMORPHISMS

For each irreducible hyperbolic automorphism A of the n-torus we const ruct a sofic system (Sigma, sigma) and a bounded-to-one continuous sem iconjugacy from (Sigma, sigma) to (T-n, A). This construction is natur al in the sense that it depends only on the characteristic polynomial of A and, furthermore, it has an arithmetic interpretation.