Spectra of infinite Cayley graphs, examples with pure band spectra
Year: 2026
Type: article
Abstract: It is shown that there are groups \Gamma with finite generating sets S such that the adjacency operator of the Cayley graph \mathrm{Cay}(\Gamma,S) is a disjoint union of N intervals, for arbitrarily large integers N .
Source: Groups Geometry and Dynamics
DOI: 10.4171/ggd/1002
Author: Pierre de la Harpe
Institution: University of Geneva
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
Funder: National Science Foundation
Award: G5599649393
OpenAlex ID: W4391766593