A certain synchronizing property of subshifts and flow equivalence

Details A certain synchronizing property of subshifts and flow equivalence A certain synchronizing property of subshifts and flow equivalence

2011-05-17

arxiv.org/abs/1105.3249v1

Mathematics

Dynamical Systems

28 pages

Scientific paper

We will study a certain synchronizing property of subshifts called $\lambda$-synchronization. The $\lambda$-synchronizing subshifts form a large class of irreducible subshifts containing irreducible sofic shifts. We prove that the $\lambda$-synchronization is invariant under flow equivalence of subshifts. The $\lambda$-synchronizing K-groups and the $\lambda$-synchronizing Bowen-Franks groups are studied and proved to be invariant under flow equivalence of $\lambda$-synchronizing subshifts. They are new flow equivalence invariants for $\lambda$-synchronizing subshifts.

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