Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2025
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2507.17322 |
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Inhaltsangabe:
- In this paper, we study spectrally invariant subalgebras of uniform Roe algebras for discrete groups with subexponential growth. For a group $G$ with subexponential growth and satisfying property $P$, we construct a class of subalgebras $R^{\infty}(G)$. We then prove their spectral invariance in $C_u^*(G)$ through the application of admissible weights. This extends $\ell^2$-norm spectral invariance results beyond polynomial growth settings.