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arXiv · 0809.4625

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

Ilwoo Cho·Palle E. T. Jorgensen
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Abstract

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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Ilwoo Cho, Palle E. T. Jorgensen. 2008-09-26. Applications of Automata and Graphs: Labeling Operators in Hilbert Space II. https://doi.org/10.1063/1.3141524

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