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

Bartholdi, Laurent; Grigorchuk, Rostislav

doi:10.1016/S0764-4442(00)01658-X

Scientific article

English

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

ContributorsBartholdi, Laurent; Grigorchuk, Rostislav

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.

Classification

arxiv : math.GR

Affiliation entities

Faculté des sciences / Section de mathématiques

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

Article

Identifiers

PID : unige:12527
DOI : 10.1016/S0764-4442(00)01658-X
arXiv : math/0012174v1

Journal ISSN1631-073X

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

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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