Spectra of non-commutative dynamical systems and graphs related to fractal groups
Group Theory
2009-11-28 v1
Abstract
We study spectra of noncommutative dynamical systems, representations of fractal groups, and regular graphs. We explicitly compute these spectra for five examples of groups acting on rooted trees, and in three cases obtain totally disconnected sets.
Cite
@article{arxiv.math/0012174,
title = {Spectra of non-commutative dynamical systems and graphs related to fractal groups},
author = {Laurent Bartholdi and Rostislav I. Grigorchuk},
journal= {arXiv preprint arXiv:math/0012174},
year = {2009}
}
Comments
Short note summing up math.GR/9910102