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24 April 2024

» arxiv » math.GR/0012174

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Spectra of non-commutative dynamical systems and graphs related to fractal groups
Laurent Bartholdi ; Rostislav I. Grigorchuk ;
Date:	18 Dec 2000
Journal:	C. R. Acad. Sci. Paris S{ér. I Math. 331 (2000), no. 6, 429--434
Subject:	Group Theory MSC-class: 20F50; 20C12,11F25,43A65 \| math.GR
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.
Source:	arXiv, math.GR/0012174
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