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· 2026 · DOI 10.4171/jncg/642

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Ideal structure of $\ell^p$ uniform Roe algebras

math.FA · 2026-06-10 · unverdicted · novelty 7.0

For uniformly locally finite coarse spaces, the lattice of geometric ideals in B^p_u(X,E) is isomorphic to the lattice of ideals of E for every p in {0}∪[1,∞], with further isomorphisms via limit operators and consequences from property A.

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  • Ideal structure of $\ell^p$ uniform Roe algebras math.FA · 2026-06-10 · unverdicted · none · ref 23

    For uniformly locally finite coarse spaces, the lattice of geometric ideals in B^p_u(X,E) is isomorphic to the lattice of ideals of E for every p in {0}∪[1,∞], with further isomorphisms via limit operators and consequences from property A.