Spectra of non-commutative dynamical systems and graphs related to fractalgroups

Authors
Bartholdi, L Grigorchuk, RI
Citation
L. Bartholdi et Ri. Grigorchuk, Spectra of non-commutative dynamical systems and graphs related to fractalgroups, CR AC S I, 331(6), 2000, pp. 429-434
Citations number
8
Categorie Soggetti
Mathematics
Journal title
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE
ISSN journal
07644442 → ACNP
Volume
331
Issue
6
Year of publication
2000
Pages
429 - 434
Database
ISI
SICI code
0764-4442(20000915)331:6<429:SONDSA>2.0.ZU;2-R
Abstract
We study spectra of noncommutative dynamical systems, representations of fr actal groups, and regular graphs. We explicitly compute these spectra for f ive examples of groups acting on rooted trees, and in three cases obtain to tally disconnected sets. (C) 2000 Academie des sciences/Editions scientifiq ues et medicales Elsevier SAS.