\(R^\ast\)-algebras and \(C^\ast\)-uniqueness of pre-\(C^\ast\)-algebras

DOI10.1016/j.jmaa.2023.127341zbMath1528.46040OpenAlexW4366993210MaRDI QIDQ6110841

Guimei An, Ming-Chu Gao

Publication date: 6 July 2023

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2023.127341

zbMATH Keywords

group algebras\(C^\ast\)-uniqueness of pre-\(C^\ast\)-algebras\(R^\ast\)-algebrasKadison's question on \(\ast\)-algebras of operators

Mathematics Subject Classification ID

(C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) General theory of (C^*)-algebras (46L05)

Cites Work

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• *-regularity and uniqueness of \(C^*\)-norm for tensor products of *- algebras
• Group algebras with a unique C*-norm
• Groups of polynomial growth and expanding maps. Appendix by Jacques Tits
• On ``Problems on von Neumann algebras by R. Kadison, 1967
• Uniqueness questions for \(C^\ast\)-norms on group rings
• Some permanence properties of \(C^{*}\)-unique groups
• \(C^\ast \)-irreducibility for reduced twisted group \(C^\ast \)-algebras
• A torsion-free algebraically \(C^*\)-unique group
• Just-infinite \(C^\ast\)-algebras
• Free Random Variables
• The Dual Spaces of C ∗ -Algebras
• The Properties ∗ -Regularity and Uniqueness of C ∗ -Norm in a General ∗ -Algebra
• Hermitian and algebraic $^*$-algebras, representable extensions of positive functionals
• Primeness and Primitivity Conditions for Twisted Group $C^*$-Algebras
• \(C^*\)-algebras by example

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