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arXiv 0809.4625math.OAmath.DS

Applications of Automata and Graphs: Labeling Operators in Hilbert Space II

Ilwoo Cho, Palle E. T. Jorgensen

英文摘要:

We introduced a family of infinite graphs directly associated with a class of von Neumann automaton model A_{G}. These are finite state models used in symbolic dynamics: stimuli models and in control theory. In the context of groupoid von Neumann algebras, and an associated fractal group, we prove a classification theorem for representations of automata.

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