On some “stability” properties of the full C*-algebra associated to the free group F∞

DOI10.1017/S0013091500019441zbMath0891.46037MaRDI QIDQ4354295

Asma Harcharras

Publication date: 16 September 1997

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Haagerup tensor productcomplex interpolationfull \(C^*\)-algebra associated to the free group of countably many generatorsoperator subspaces

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51) Abstract interpolation of topological vector spaces (46M35) Tensor products in functional analysis (46M05)

Related Items (1)

Stafney’s lemma holds for several “classical” interpolation methods

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The standard dual of an operator space
• Completely bounded multilinear maps and \(C^ *\)-algebraic cohomology
• Self-duality for the Haagerup tensor product and Hilbert space factorizations
• Tensor products of operator spaces
• Injectivity and operator spaces
• Simple \(C^*\)-algebras generated by isometries
• On non-semisplit extensions, tensor products and exactness of group \(C^*\)-algebras
• Lifting problems and local reflexivity for \(C^ *\)-algebras
• Bilinear forms on exact operator spaces and \(B(H) \otimes B(H)\)
• On nuclear C\(^*\)-algebras
• Multipliers of the Fourier Algebras of Some Simple Lie Groups and Their Discrete Subgroups
• A New Approach to Operator Spaces
• ON APPROXIMATION PROPERTIES FOR OPERATOR SPACES
• The Spectrum of an Operator on an Interpolation Space

This page was built for publication: On some “stability” properties of the full C*-algebra associated to the free group F_∞