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

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

2008-09-26

arxiv.org/abs/0809.4625v1

Mathematics

Operator Algebras

61 pages

Scientific paper

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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