Almost contractive maps between \(C^{\ast}\)-algebras with applications to Fourier algebras

DOI10.1016/j.jfa.2017.11.012zbMath1483.47123OpenAlexW2774443555MaRDI QIDQ1753391

Jean Roydor, Éric Ricard

Publication date: 29 May 2018

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

Full work available at URL: https://doi.org/10.1016/j.jfa.2017.11.012

zbMATH Keywords

\(C^\ast\)-algebrasoperator spaceshomomorphisms of Fourier algebras

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Operator spaces (= matricially normed spaces) (47L25) Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30) Measure algebras on groups, semigroups, etc. (43A10)

Related Items

Banach–Mazur stability of von Neumann algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Idempotents with small norms
• Homomorphisms with small bound between Fourier algebras
• \(L^p\)-Fourier and Fourier-Stieltjes algebras for locally compact groups
• A Schwarz inequality for positive linear maps on C\(^*\)-algebras
• Homomorphisms of group algebras with norm less than \(\sqrt2\)
• \({L_{p}}\)-representations of discrete quantum groups
• A noncommutative Amir-Cambern theorem for von Neumann algebras and nuclear \(C^\ast\)-algebras
• \(W^*\)-algebras and nonabelian harmonic analysis
• Completely bounded homomorphisms of the Fourier algebras
• A generalized Schwarz inequality and algebraic invariants for operator algebras
• New C*-completions of discrete groups and related spaces
• Contractive homomorphisms of the Fourier algebras
• On Homomorphisms of Group Algebras
• Weak*- continuous homomorphisms of Fourier–Stieltjes algebras
• Le théorème des idempotents dans $B(G)$
• The Second Conjugate Algebra of the Fourier Algebra of a Locally Compact Group
• A New Approach to Operator Spaces
• ABOUT THE QWEP CONJECTURE
• L'algèbre de Fourier d'un groupe localement compact
• On norms of idempotent measures. II