On 𝐶*-algebras associated with locally compact groups

DOI10.1090/S0002-9939-96-03382-5zbMath0861.43002OpenAlexW1577331992MaRDI QIDQ4717086

Anthony To-Ming Lau, Guenter Schlichting, Mohammed El Bachir Bekka, Eberhard Kaniuth

Publication date: 29 April 1997

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-96-03382-5

zbMATH Keywords

locally compact group\(C^*\)-algebrasamenabilityfree groupsleft regular representationnonsolvable groupsFourier-Stieltjes algebras

Mathematics Subject Classification ID

Unitary representations of locally compact groups (22D10) Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30)

Related Items (9)

Operator biflatness of the Fourier algebra and approximate indicators for subgroups ⋮ On exotic group C*-algebras ⋮ Unnamed Item ⋮ A family of exotic group C*-algebras ⋮ Characterisations of Fourier and Fourier-Stieltjes algebras on locally compact groups ⋮ CONVOLUTION OPERATORS AND HOMOMORPHISMS OF LOCALLY COMPACT GROUPS ⋮ Weak separation properties for closed subgroups of locally compact groups ⋮ Remarks on the quantum Bohr compactification ⋮ Diagonal type conditions on group C*-algebras

Cites Work

• Amenable unitary representations of locally compact groups
• Some groups whose reduced \(C^*\)-algebra is simple
• Symmetric Random Walks on Groups
• On duals of Lie groups made discrete.
• Computing Norms in Group C ∗ -Algebras
• On the C ∗ -Algebra Generated by the Left Regular Representation of a Locally Compact Group
• L'algèbre de Fourier d'un groupe localement compact
• C ∗ -Algebras Generated by Fourier-Stieltjes Transforms
• Reversing the Ahlfors' Estimate
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