Amenability and weak amenability of the Fourier algebra
From MaRDI portal
Publication:2574914
DOI10.1007/s00209-005-0772-2zbMath1080.22002arXivmath/0211284OpenAlexW2119673667MaRDI QIDQ2574914
Volker Runde, Brian E. Forrest
Publication date: 5 December 2005
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0211284
(C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25) Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30) Dual spaces of operator algebras (47L50)
Related Items
Module operator amenability of the Fourier algebra of an inverse semigroup, Derivations on the algebra of Rajchman measures, Hyper-Tauberian algebras and weak amenability of Figà-Talamanca-Herz algebras, Similarity degree of Fourier algebras, Derivations on generalized semidirect products of Banach algebras, Operator amenability of Fourier-Stieltjes algebras, II, Finite-dimensional quasirepresentations of connected Lie groups and Mishchenko's conjecture, Weak amenability of Banach algebras on locally compact groups, On strong pseudo-amenability of some Banach algebras, Characterization of closed ideals with bounded approximate identities in commutative Banach algebras, complemented subspaces of the group von Neumann algebras and applications, Cohen-Host type idempotent theorems for representations on Banach spaces and applications to Figà-Talamanca-Herz algebras, On the subalgebra of a Fourier-Stieltjes algebra generated by pure positive definite functions, \(L^p\)-Fourier and Fourier-Stieltjes algebras for locally compact groups, Projective operator spaces, almost periodicity and completely complemented ideals in the Fourier algebra, Amenability, weak amenability and bounded approximate identities in multipliers of the Fourier algebra, Various notions of amenability in Banach algebras, Completely bounded bimodule maps and spectral synthesis, Orthogonality and disjointness preserving linear maps between Fourier and Fourier-Stieltjes algebras of locally compact groups, Figa-Talamanca-Herz algebras for restricted inverse semigroups and Clifford semigroups, Complete order amenability of the Fourier algebra, Completely almost periodic functionals, Beurling-Fourier algebras, operator amenability and Arens regularity, \(p\)-Fourier algebras on compact groups, On the preservation of properties by piecewise affine maps of locally compact groups, On module cohomology of the Fourier algebra of an inverse semigroup, Connes-amenability of \(WAP(\mathfrak B^*)^*\), On the fourier algebra of certain hypergroups, Banach algebras on semigroups and on their compactifications, Column and row operator spaces over \(\mathrm{QSL}_p\)-spaces and their use in abstract harmonic analysis, Continuity conditions for finite-dimensional locally bounded representations of connected locally compact groups, APPROXIMATELY BIPROJECTIVE BANACH ALGEBRAS AND NILPOTENT IDEALS, Operator ultra-amenability, A note on \(p\)-completely bounded homomorphisms of the Figà-Talamanca-Herz algebras, Fourier-Stieltjes algebras and measure algebras on compact right topological groups, Completely bounded disjointness preserving operators between Fourier algebras, Connes-amenability of multiplier Banach algebras, The similarity problem for Fourier algebras and corepresentations of group von Neumann algebras, Constructing alternating 2-cocycles on Fourier algebras, On ϕ-amenability of Banach algebras, Weak and cyclic amenability for Fourier algebras of connected Lie groups, On operator amenability of Fourier-Stieltjes algebras, Weak amenability of Fourier algebras and local synthesis of the anti-diagonal, The amenability constant of the Fourier algebra, Amenability properties of Figà-Talamanca–Herz algebras on inverse semigroups, Johnson pseudo-contractibility and pseudo-amenability of $ \theta $-Lau product of Banach algebras, Coset decision trees and the Fourier algebra, Completely bounded homomorphisms of the Fourier algebras, Connes-amenability of Fourier–Stieltjes algebras, Applications of operator spaces to abstract harmonic analysis., Amenability and weak amenability of the Fourier algebra
Cites Work
- Amenability and bounded approximate identities in ideals of A(G)
- On tensor products of Fourier algebras
- Fourier analysis on coset spaces
- Ideals with bounded approximate identities in Fourier algebras.
- Completely bounded homomorphisms of the Fourier algebras
- Amenability and weak amenability of the Fourier algebra
- The Amenability of Measure Algebras
- Le théorème des idempotents dans $B(G)$
- Amenability and Weak Amenability for Beurling and Lipschitz Algebras
- Point Derivations onM(G)
- Non-Amenability of the Fourier Algebra of a Compact Group
- Cohomology and the Operator Space Structure of the Fourier Algebra and its Second Dual
- Operator weak amenability of the Fourier algebra
- Operator Figà-Talamanca–Herz algebras
- Operator amenability of Fourier–Stieltjes algebras
- The Operator Amenability of A(G)
- L'algèbre de Fourier d'un groupe localement compact
- Groups with Finite Dimensional Irreducible Representations
- Approximate Diagonals and Cohomology of Certain Annihilator Banach Algebras
- Cohomology in Banach algebras
- Lectures on amenability
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item