Harmonic projection and hypercentral extensions
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866914296419581952 |
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| author | Gournay, Antoine |
| author_facet | Gournay, Antoine |
| contents | The Liouville property is a strong form of amenability, but contrary to amenability, it is not well-behaved under extensions. In this paper it is shown that, for some measures, the Liouville property is preserved by [FC-]hypercentral extensions. To this end a projection from $\ell^\infty$ onto the space of harmonic functions is introduced. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_00187 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Harmonic projection and hypercentral extensions Gournay, Antoine Group Theory The Liouville property is a strong form of amenability, but contrary to amenability, it is not well-behaved under extensions. In this paper it is shown that, for some measures, the Liouville property is preserved by [FC-]hypercentral extensions. To this end a projection from $\ell^\infty$ onto the space of harmonic functions is introduced. |
| title | Harmonic projection and hypercentral extensions |
| topic | Group Theory |
| url | https://arxiv.org/abs/2602.00187 |