Some permanence properties of \(C^{*}\)-unique groups

DOI10.1016/j.jfa.2003.11.003zbMath1048.43002OpenAlexW2050794916MaRDI QIDQ1876247

Chi-Wai Leung, Chi-Keung Ng

Publication date: 16 August 2004

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

Full work available at URL: https://doi.org/10.1016/j.jfa.2003.11.003

zbMATH Keywords

group algebralocally compact groupamenable group\(C^*\)-unique group

Mathematics Subject Classification ID

(C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) Unitary representations of locally compact groups (22D10) (L^1)-algebras on groups, semigroups, etc. (43A20)

Related Items

Polynomial growth of discrete quantum groups, topological dimension of the dual and *-regularity of the Fourier algebra ⋮ \(R^\ast\)-algebras and \(C^\ast\)-uniqueness of pre-\(C^\ast\)-algebras ⋮ Uniqueness questions for \(C^\ast\)-norms on group rings ⋮ Topological treatments of some results on invariant ideals

Cites Work

• Unnamed Item
• Unnamed Item
• *-regularity and uniqueness of \(C^*\)-norm for tensor products of *- algebras
• Properties of topological dynamical systems and corresponding \(C^*\)- algebras
• Group algebras with a unique C*-norm
• Fourier analysis and determining sets for Radon measures on \({\mathbb{R}}^ n\)
• Applications of the Connes spectrum to C*-dynamical systems. II
• *-regularity of some classes of solvable groups
• Determining sets for measures on \(R^ n\).
• Infinite tensor products of C*-algebras
• The structure of crossed product C*-algebras: A proof of the generalized Effros-Hahn conjecture
• The local structure of twisted covariance algebras
• Unitary representation theory of exponential Lie groups
• Invariant ideals of twisted crossed products
• Applications of the Connes spectrum to C*-dynamical systems. III
• Representation theory of almost connected groups
• Some Remarks on the Pompeiu Problem for Groups
• The Pompeiu problem for groups
• The Properties ∗ -Regularity and Uniqueness of C ∗ -Norm in a General ∗ -Algebra
• Cross sections for quotient maps of locally compact groups.
• Connected groups with polynomially induced dual.
• Twisted crossed products of C*-algebras
• Topologically free actions and ideals in discrete C*-dynamical systems
• Morita Equivalent Twisted Actions and a New Version of the Packer-Raeburn Stabilization Trick
• An example of a generalized completely continuous representation of a locally compact group
• Representations of Twisted Group Algebras