Spectra of infinite Cayley graphs, examples with pure band spectra
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866916118874030080 |
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| author | de la Harpe, Pierre |
| author_facet | de la Harpe, Pierre |
| contents | It is shown that there are groups $Γ$ with finite generating sets $S$ such that the adjacency operator of the Cayley graph ${\rm Cay}(Γ,S)$ is a disjoint union of $N$ intervals, for arbitrarily large integers $N$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_06279 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Spectra of infinite Cayley graphs, examples with pure band spectra de la Harpe, Pierre Combinatorics 05C50, 47A10 It is shown that there are groups $Γ$ with finite generating sets $S$ such that the adjacency operator of the Cayley graph ${\rm Cay}(Γ,S)$ is a disjoint union of $N$ intervals, for arbitrarily large integers $N$. |
| title | Spectra of infinite Cayley graphs, examples with pure band spectra |
| topic | Combinatorics 05C50, 47A10 |
| url | https://arxiv.org/abs/2402.06279 |