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

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

2000-12-18

arxiv.org/abs/math/0012174v1

C. R. Acad. Sci. Paris Ser. I Math. 331 (2000), no. 6, 429--434

Mathematics

Group Theory

Short note summing up math.GR/9910102

Scientific paper

10.1016/S0764-4442(00)01658-X

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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