Approximation properties for noncommutative \(L^p\)-spaces of high rank lattices and nonembeddability of expanders

DOI10.1515/crelle-2015-0043zbMath1396.46021arXiv1403.6415OpenAlexW1917822198MaRDI QIDQ1707507

Mikael de la Salle, Tim De Laat

Publication date: 3 April 2018

Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.6415

zbMATH Keywords

noncommutative \(L^p\)-spacesexpander familiescoarse embeddabilitycompletely bounded approximation property

Mathematics Subject Classification ID

Random graphs (graph-theoretic aspects) (05C80) Noncommutative function spaces (46L52) Embeddings of discrete metric spaces into Banach spaces; applications in topology and computer science (46B85)

Related Items (16)

Fourier multipliers in \(\mathrm{SL}_n(\mathbb{R})\) ⋮ A Mikhlin multiplier theory for free groups and amalgamated free products of von Neumann algebras ⋮ Spectral multipliers in group algebras and noncommutative Calderón-Zygmund theory ⋮ Singular integrals in quantum Euclidean spaces ⋮ Proper affine isometric actions of hyperbolic groups on \(\ell^p\) spaces ⋮ Superexpanders from group actions on compact manifolds ⋮ A Sobolev estimate for radial 𝐿^{𝑝}-multipliers on a class of semi-simple Lie groups ⋮ Banach property (T) for \(\mathrm{SL}_n (\mathbb{Z})\) and its applications ⋮ Analysis on simple Lie groups and lattices ⋮ Local and multilinear noncommutative de Leeuw theorems ⋮ On strong property (T) and fixed point properties for Lie groups ⋮ Kazhdan projections, random walks and ergodic theorems ⋮ On the complete bounds of \(L_p\)-Schur multipliers ⋮ Group approximation in Cayley topology and coarse geometry Part I: Coarse embeddings of amenable groups ⋮ Group approximation in Cayley topology and coarse geometry. II: Fibred coarse embeddings ⋮ A local characterization of Kazhdan projections and applications

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