Geometry of the Fourier algebras and locally compact groups with atomic unitary representations

DOI10.1007/BF01455310zbMath0488.43009MaRDI QIDQ1166053

Keith F. Taylor

Publication date: 1983

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/163699

zbMATH Keywords

Radon-Nikodym propertyFourier algebraFourier-Stieltjes algebraatomicatomic unitary representation

Mathematics Subject Classification ID

Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30)

Related Items (19)

Lebesgue type decomposition of subspaces of Fourier-Stieltjes algebras ⋮ Decomposition of $B(G)$ ⋮ Operator amenability of Fourier-Stieltjes algebras, II ⋮ Dual spaces and translation invariant means on group von Neumann algebras ⋮ Harmonic analysis on the affine group of the plane ⋮ Weak\(^*\) fixed point property of reduced Fourier-Stieltjes algebra and generalization of Baggett's theorem ⋮ Fixed point property and normal structure for Banach spaces associated to locally compact groups ⋮ COMPACT ELEMENTS AND OPERATORS OF QUANTUM GROUPS ⋮ Fixed point property and the Fourier algebra of a locally compact group ⋮ Duality between compactness and discreteness beyond Pontryagin duality ⋮ Compact and weakly compact multipliers of locally compact quantum groups ⋮ Exotic ideals in the Fourier-Stieltjes algebra of a locally compact group ⋮ Weak*-closedness of subspaces of Fourier-Stieltjes algebras and weak*-continuity of the restriction map ⋮ Normal structure and common fixed point properties for semigroups of nonexpansive mappings in Banach spaces ⋮ Duality, cohomology, and geometry of locally compact quantum groups ⋮ Fixed point properties of semigroups of nonexpansive mappings ⋮ Groups whose Fourier algebra and Rajchman algebra coincide ⋮ The Radon-Nikodym property for some Banach algebras related to the Fourier algebra ⋮ Fixed point property for Banach algebras associated to locally compact groups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A sufficient condition for the complete reducibility of the regular representation
• On some topologies which coincide on the unit sphere of the Fourier- Stieltjes algebra B(G) and of the measure algebra M(G)
• Positive definite functions which vanish at infinity
• Type I \(C^ *\)-algebras
• A separable group having a discrete dual space is compact
• Borel Structure in Groups and Their Duals
• Sur l'analyse harmonique du groupe affine de la droite
• The Geometry of Flat Banach Spaces
• Groups with Completely Reducible Regular Representation
• L'algèbre de Fourier d'un groupe localement compact
• A New Group Algebra for Locally Compact Groups
• Girths and flat Banach spaces

This page was built for publication: Geometry of the Fourier algebras and locally compact groups with atomic unitary representations