Fourier-Stieltjes algebra of a topological group

DOI10.1016/j.aim.2011.12.022zbMath1236.22001OpenAlexW2089169620MaRDI QIDQ664767

Anthony To-Ming Lau, Jean Ludwig

Publication date: 2 March 2012

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2011.12.022

zbMATH Keywords

unitary representationsFouriertopological groupsFourier algebraStieltjes algebra

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30) Analysis on general topological groups (22A10)

Related Items

Representations of Banach algebras subordinate to topologically introverted spaces ⋮ Module character amenability of Banach algebras ⋮ Characterisations of Fourier and Fourier-Stieltjes algebras on locally compact groups ⋮ Abstract measure algebras over homogeneous spaces of compact groups ⋮ Common fixed point properties and amenability of a class of Banach algebras ⋮ Orthogonality and disjointness preserving linear maps between Fourier and Fourier-Stieltjes algebras of locally compact groups ⋮ Normal states are determined by their facial distances ⋮ Fixed point properties for semigroups of nonlinear mappings on unbounded sets ⋮ Finite dimensional invariant subspaces for algebras of linear operators and amenable Banach algebras ⋮ ARENS REGULARITY AND AMENABILITY OF LAU PRODUCT OF BANACH ALGEBRAS DEFINED BY A BANACH ALGEBRA MORPHISM ⋮ Fourier-Stieltjes algebras and measure algebras on compact right topological groups ⋮ On the density of the Fourier-Stieltjes algebra ⋮ Generalised \(F\)-algebras as predual algebras of \( JBW ^\ast\)-triples and characterisations of the Fourier algebras on locally compact groups ⋮ Finite-dimensional invariant subspace property and amenability for a class of Banach algebras ⋮ Inversion problem in measure and Fourier-Stieltjes algebras ⋮ Algebraic and analytic properties of semigroups related to fixed point properties of non-expansive mappings ⋮ Strongly amenable involutive representations of involutive Banach algebras ⋮ Character inner amenability for semigroups ⋮ Weakly almost periodic functionals on certain Banach algebras ⋮ Fourier-Stieltjes transforms over homogeneous spaces of compact groups ⋮ Amenability and Hahn-Banach extension property for set valued mappings

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Fixed point-free isometric actions of topological groups on Banach spaces
• Compact semitopological semigroups: An intrinsic theory
• The Fourier Stieltjes algebra of a topological semigroup with involution
• On invariant subalgebras of the Fourier-Stieltjes algebra of a locally compact group
• On the existence of pathological submeasures and the construction of exotic topological groups
• Compact right topological semigroups and generalizations of almost periodicity
• On minimal actions of Polish groups
• On the structure of the Fourier-Stieltjes algebra
• Noncommutative convolution measure algebras
• Invariant means on locally compact groups
• \(W^*\)-algebras and nonabelian harmonic analysis
• Positive-definite functions on involution semigroups
• Isometries of operator algebras
• Analysis on a class of Banach algebras with applications to harmonic analysis on locally compact groups and semigroups
• A Topological Application of the Isoperimetric Inequality
• Nuclear C ∗ -Algebras have Amenable Unitary Groups
• Semigroup of Operators on Dual Banach Spaces
• Infinite tensor products of $C_0(\mathbb{R})$: towards a group algebra for $\mathbb{R}^{(\mathbb{N})}$
• Radon Measures on Groups
• Sections induced from weakly sequentially complete spaces
• Quasi-Invariant Radon Measures on Groups
• GENERALISING GROUP ALGEBRAS
• On Non-Self-Adjoint Operator Algebras
• Every semitopological semigroup compactification of the group \(H_+[0,1\) is trivial]
• Theory of operator algebras I.