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- W2045981710 abstract "O. Introduction 1. The sign-gyration-compatibility-condition 2. Gyration and orbit-sign numbers 3. Construction of sgcc A m 4. Application of sgcc A ~ SUMMARY Let Aut(OA) denote the group of automorphisms of a subshift of finite type (XA'OA) built from a primitive matrix A. We show that the sign-gyrationcompatibility-condition homomorphism SGCC A, m defined on Aut( 0 A) factors through the group Aut(s A) of automorphisms of the dimension group. This is used to find a mixing subshift of finite type with a permutation of fixed points that cannot be lifted to an automorphism of the shift. We also give an example of a mixing subshift of finite type where the dimension group representation is not surjective. This example is used in [KR3] to give examples of subshifts of finite type (reducible, with two mixing components) that are shift equivalent but not strong shift equivalent over the nonnegative integers. O. INTRODUCTION" @default.
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- W2045981710 date "1992-01-01" @default.
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- W2045981710 title "Automorphisms of the dimension group and gyration numbers" @default.
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- W2045981710 doi "https://doi.org/10.1090/s0894-0347-1992-1124983-3" @default.
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