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Spectra of non-commutative dynamical systems and graphs related to fractal groups

Published inComptes rendus. Mathématique, vol. 331, no. 6, p. 429-434
Publication date2000
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.

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  • arxiv : math.GR
Citation (ISO format)
BARTHOLDI, Laurent, GRIGORCHUK, Rostislav. Spectra of non-commutative dynamical systems and graphs related to fractal groups. In: Comptes rendus. Mathématique, 2000, vol. 331, n° 6, p. 429–434. doi: 10.1016/S0764-4442(00)01658-X
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ISSN of the journal1631-073X
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