Equivariant Flow Equivalence for Shifts of Finite Type, by Matrix Equivalence over Group Rings

نویسندگان

  • MIKE BOYLE
  • MICHAEL C. SULLIVAN
چکیده

Let G be a finite group. We classify G-equivariant flow equivalence of nontrivial irreducible shifts of finite type in terms of (i) elementary equivalence of matrices over ZG and (ii) the conjugacy class in ZG of the group of G-weights of cycles based at a fixed vertex. In the case G = Z/2, we have the classification for twistwise flow equivalence. We include some algebraic results and examples related to the determination of E(ZG) equivalence, which involves K1(ZG).

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تاریخ انتشار 2004