Approximation properties for noncommutative \(L^p\)-spaces associated with lattices in Lie groups

DOI10.1016/j.jfa.2013.02.014zbMath1291.46054arXiv1208.5939OpenAlexW2138584052MaRDI QIDQ387236

Tim De Laat

Publication date: 20 December 2013

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.5939

zbMATH Keywords

Lie groupsapproximation propertiesnoncommutative \(L^p\)-spacesSchur multipliers

Mathematics Subject Classification ID

Geometric group theory (20F65) Spaces of operators; tensor products; approximation properties (46B28) Noncommutative function spaces (46L52)

Related Items

Towards strong Banach property (T) for \(\mathrm{SL}(3,\mathbb R)\), Fourier multipliers in \(\mathrm{SL}_n(\mathbb{R})\), Strong property (T) for higher-rank simple Lie groups: Figure 1., Schur and Fourier multipliers of an amenable group acting on non-commutative 𝐿^{𝑝}-spaces, A Sobolev estimate for radial 𝐿^{𝑝}-multipliers on a class of semi-simple Lie groups, Analysis on simple Lie groups and lattices, Local and multilinear noncommutative de Leeuw theorems, Approximation properties for noncommutative \(L^p\)-spaces of high rank lattices and nonembeddability of expanders, Simple Lie groups without the Approximation Property II, On the complete bounds of \(L_p\)-Schur multipliers

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Noncommutative \(L^{p}\)-spaces without the completely bounded approximation property
• Arithmetic subgroups of algebraic groups
• Weak amenability of the universal covering group of \(SU(1,n)\)
• Introduction to harmonic analysis and generalized Gelfand pairs
• On the uniform approximation property in Banach spaces
• Applications of the complex interpolation method to a von Neumann algebra: non-commutative \(L^ p\)-spaces
• Approximation properties for noncommutative \(L_p\)-spaces associated with discrete groups
• Completely bounded multipliers of the Fourier algebra of a simple Lie group of real rank one
• Simple Lie groups without the approximation property
• Groupes reductifs
• Weak amenability and semidirect products in simple Lie groups
• Induced representation of locally compact groups. I
• Multipliers of the Fourier Algebras of Some Simple Lie Groups and Their Discrete Subgroups
• Approximation Properties for Group C∗-Algebras and Group Von Neumann Algebras
• ON APPROXIMATION PROPERTIES FOR OPERATOR SPACES
• The operator Hilbert space 𝑂𝐻, complex interpolation and tensor norms
• L'algèbre de Fourier d'un groupe localement compact
• The Dual Space of Semi-Simple Lie Groups
• Lie groups beyond an introduction