A certain synchronizing property of subshifts and flow equivalence

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

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