Stabilized C*-algebras constructed from symbolic dynamical systems

We construct stabilized C*-algebras from subshifts by using the dynamical p roperty of the symbolic dynamical systems. We prove that the construction i s dynamical acid the C*-algebras are isomorphic to the tensor product C*-al gebras between the algebra of all compact operators on a separable Hilbert space and the C*-algebras constructed from creation operators on sub-Fock s paces associated with the subshifts. We also prove that the gauge actions o n the stabilized C*-algebras are invariant for topological conjugacy as two -sided subshifts under some conditions. Hence, if two subshifts an topologi cally conjugate as two-sided subshifts, the associated stabilized C*-algebr as are isomorphic so that their K-groups are isomorphic.