C * -algebras Arising from Dyck Systems of Topological Markov Chains

Let A be an N × N irreducible matrix with entries in {0, 1}. We define the topological Markov Dyck shift DA to be a nonsofic subshift consisting of the 2N brackets (1, . . . , (N , )1, . . . , )N with both standard bracket rule and Markov chain rule coming from A. The subshift is regarded as a subshift defined by the canonical generators S∗ 1 , . . . , S… CONTINUE READING