Applications of Automata and Graphs: Labeling Operators in Hilbert Space II
Operator Algebras
2015-05-13 v1 Dynamical Systems
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.
Keywords
Cite
@article{arxiv.0809.4625,
title = {Applications of Automata and Graphs: Labeling Operators in Hilbert Space II},
author = {Ilwoo Cho and Palle E. T. Jorgensen},
journal= {arXiv preprint arXiv:0809.4625},
year = {2015}
}
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61 pages