Twisted bounded-dilation group \(C\)*-algebras as \(C\)*-metric algebras

DOI10.1007/S11425-017-9418-XzbMath1475.46064OpenAlexW3045352137MaRDI QIDQ829371

Botao Long, Wei Wu

Publication date: 6 May 2021

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-017-9418-x

zbMATH Keywords

discrete groupcompact quantum metric space\(C\)*-metric algebrabounded \(\theta\)-dilationLeibniz lip-normtwisted reduced group \(C\)*-algebra

Mathematics Subject Classification ID

Noncommutative differential geometry (46L87) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Noncommutative geometry (à la Connes) (58B34) Group algebras of locally compact groups (22D15)

Related Items (5)

The category of compact quantum metric spaces ⋮ Convergence of Fourier truncations for compact quantum groups and finitely generated groups ⋮ Almost periodic type group actions on compact quantum metric spaces ⋮ Convergence of inductive sequences of spectral triples for the spectral propinquity ⋮ Lipschitz isomorphisms of compact quantum metric spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Lipschitzness of \(^*\)-homomorphisms between \(C^*\)-metric algebras
• Groups of polynomial growth and expanding maps. Appendix by Jacques Tits
• Metrics on states from actions of compact groups
• Defining metric spaces via operators from unital \(C^*\)-algebras
• Metrics on state spaces
• Group \(C^*\)-algebras as compact quantum metric spaces
• Dimension and dynamical entropy for metrized \(C^\ast\)-algebras
• Metrics on group \(C^{*}\)-algebras and a non-commutative Arzelà-Ascoli theorem
• Twisted group \(C^\ast\)-algebras as compact quantum metric spaces
• Produits croises d'une \(C^ *\)-algèbre par un groupe d'automorphismes
• Growth of finitely generated solvable groups and curvature of Riemannian manifolds
• Nilpotent Group C*-algebras as Compact Quantum Metric Spaces
• Leibniz seminorms for "Matrix algebras converge to the sphere"
• Hyperbolic Group C^*-Algebras and Free-Product C^*-Algebras as Compact Quantum Metric Spaces
• Rapidly Decreasing Functions in Reduced C ∗ -Algebras of Groups
• A new proof of Gromov’s theorem on groups of polynomial growth
• Gromov-Hausdorff distance for quantum metric spaces
• Isometry groups of twisted reduced group C∗-algebras
• Compact metric spaces, Fredholm modules, and hyperfiniteness

This page was built for publication: Twisted bounded-dilation group \(C\)*-algebras as \(C\)*-metric algebras