Stabilized \(C^*\)-algebras constructed from symbolic dynamical systems. (English) Zbl 0964.46035
The following is a shortened version of author’s abstract: We construct stabilized \(C^*\)-algebras from subshifts by using the dynamical property of the symbolic dynamical systems. We prove that the construction is dynamical and the \(C^*\)-algebras are isomorphic to the tensor product \(C^*\)-algebras between the algebra of all compact operators on Hilbert space and the \(C^*\)-algebras constructed from creation operators on sub-Fock spaces associated with the subshifts.
Reviewer: Catalin Badea (Villeneuve d’Ascq)
MSC:
46L05 | General theory of \(C^*\)-algebras |
37B10 | Symbolic dynamics |
46L55 | Noncommutative dynamical systems |
37A55 | Dynamical systems and the theory of \(C^*\)-algebras |