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arxiv: math/0012174 · v1 · submitted 2000-12-18 · 🧮 math.GR

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

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keywords groupsspectradynamicalfractalgraphssystemsactingcases
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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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