2011/05/17 by Matsumoto, Kengo
#05A15 #37B10(Secondary) #46L05(Primary) #Dynamical Systems (math.DS) #FOS: Mathematics #Operator Algebras (math.OA)
paper · doi:10.48550/arxiv.1105.3250
A certain synchronizing property for subshifts called λ-synchronization yields λ-graph systems called the λ-synchronizing λ-graph systems for the subshifts. The λ-synchronizing λ-graph system is a left Fischer cover analogue for a λ-synchronizing subshift. We will study algebraic structure of the C^*-algebra associated with the λ-synchronizing λ-graph system and prove that the stable isomorphism class of the C^*-algebra with its Cartan subalgebra is invariant under flow equivalence of λ-synchronizing subshifts.