Bernhard Burgstaller: Higher rank Cuntz-Krieger algebras

The classical Cuntz-Krieger algebras are non-commutative algebras which are associated with shifts of finite type. Recently and possibly motivated by the raising interest in higher dynamical systems ( $ {\mathbb{Z}}^d$-actions), higher rank analogous of Cuntz-Krieger algebras have appeared. We introduce an approach to such higher rank Cuntz-Krieger algebras.


Joachim Cuntz and Wolfgang Krieger.
A class of $ C\sp{\ast} $-algebras and topological Markov chains.
Invent. Math., 56(3):251-268, 1980.

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