Approximation properties for noncommutative \(L_p\)-spaces associated with discrete groups

DOI10.1215/S0012-7094-03-11724-XzbMath1042.46030arXivmath/0206060OpenAlexW2043682952MaRDI QIDQ1394590

Marius Junge, Zhong-Jin Ruan

Publication date: 2003

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0206060

zbMATH Keywords

approximation propertydiscrete groupnoncommutative \(L^p\)-space

Mathematics Subject Classification ID

Operator spaces and completely bounded maps (46L07) Noncommutative measure and integration (46L51) General properties and structure of locally compact groups (22D05)

Related Items (13)

Fourier multipliers in \(\mathrm{SL}_n(\mathbb{R})\) ⋮ \({\mathcal COL}_p\) spaces -- the local structure of non-commutative \(L_p\) spaces ⋮ Cb-frames for operator spaces ⋮ Approximation properties for noncommutative \(L^p\)-spaces associated with lattices in Lie groups ⋮ Smooth Fourier multipliers in group algebras via Sobolev dimension ⋮ Local and multilinear noncommutative de Leeuw theorems ⋮ Interpolation between non-commutative BMO and non-commutative \(L_{p}\)-spaces. ⋮ Approximation properties for noncommutative \(L^p\)-spaces of high rank lattices and nonembeddability of expanders ⋮ Noncommutative \(L^{p}\)-spaces without the completely bounded approximation property ⋮ On \(p\)-approximation properties for \(p\)-operator spaces ⋮ The optimal order for the \(p\)-th moment of sums of independent random variables with respect to symmetric norms and related combinatorial estimates ⋮ Simple Lie groups without the Approximation Property II ⋮ Approximation properties and approximate identities of $A_{p}(G)$

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Arithmetic subgroups of algebraic groups
• Applications of the complex interpolation method to a von Neumann algebra: non-commutative \(L^ p\)-spaces
• Subspaces of \(C^ *\)-algebras
• The slice map problem and approximation properties
• Classification of injective factors. Cases \(\mathrm{II}_1\), \(\mathrm{II}_\infty\), \(\mathrm{III}_\lambda\), \(\lambda\neq 1\)
• Tensor products of operator algebras
• On non-semisplit extensions, tensor products and exactness of group \(C^*\)-algebras
• Discrete groups with Kazhdan's property \(T\) and factorization property are residually finite
• Completely bounded multipliers of the Fourier algebra of a simple Lie group of real rank one
• Une généralisation de la notion de transformée de Fourier-Stieltjes
• \({\mathcal COL}_p\) spaces -- the local structure of non-commutative \(L_p\) spaces
• Canonical operator space structures on non-commutative \(L^p\) spaces
• On nuclear C\(^*\)-algebras
• Group C*-algebras without the completely bounded approximation property
• Multipliers of the Fourier Algebras of Some Simple Lie Groups and Their Discrete Subgroups
• Mapping Spaces and Liftings for Operator Spaces
• Approximation Properties for Group C∗-Algebras and Group Von Neumann Algebras
• Constructions of Non-Commutative L^p-Spaces with a Complex Parameter Arising from Modular Actions
• Fubini's Theorem for Ultraproducts of Noncommutative L_p-Spaces
• ON APPROXIMATION PROPERTIES FOR OPERATOR SPACES
• The Operator Amenability of A(G)
• The operator Hilbert space 𝑂𝐻, complex interpolation and tensor norms
• L'algèbre de Fourier d'un groupe localement compact
• Produits tensoriels topologiques et espaces nucléaires

This page was built for publication: Approximation properties for noncommutative \(L_p\)-spaces associated with discrete groups