A Class of Simple C-algebras Arising from Certain Nonsofic Subshifts
نویسنده
چکیده
We present a class of subshifts ZN , N = 1, 2, . . . whose associated C∗-algebras OZN are simple, purely infinite and not stably isomorphic to any Cuntz-Krieger algebra nor to Cuntz algebra. The class of the subshifts is the first examples whose associated C∗-algebras are not stably isomorphic to any Cuntz-Krieger algebra nor to Cuntz algebra. The subshifts ZN are coded systems whose languages are context free. We compute the topological entropy for the subshifts and show that KMS-state for gauge action on the associated C∗-algebra OZN exists if and only if the logarithm of the inverse temperature is the topological entropy for the subshift ZN , and the corresponding KMSstate is unique. Simple C-algebra, subshift, entropy, KMS-state. Primary 46L35, 37B10; Secondary 54H20,54C70
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