On operator norms for hyperbolic groups

DOI10.1142/S179352531750008XzbMath1365.20041arXiv1509.08317MaRDI QIDQ2979666

Bogdan Nica

Publication date: 26 April 2017

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

Full work available at URL: https://arxiv.org/abs/1509.08317

zbMATH Keywords

hyperbolic groupsHaagerup inequalityboundary representations

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Unitary representations of locally compact groups (22D10) Hyperbolic groups and nonpositively curved groups (20F67) Representations of group algebras (22D20)

Related Items (3)

On the Sobolev embedding properties for compact matrix quantum groups of Kac type ⋮ Introduction to the Rapid Decay property ⋮ Some spherical functions on hyperbolic groups

Cites Work

• An example of a non nuclear C*-algebra, which has the metric approximation property
• Patterson-Sullivan measures on the boundary of a hyperbolic space in the sense of Gromov
• Boundary amenability for word hyperbolic groups and an application to smooth dynamics of simple groups
• The spectral theory of amenable actions and invariants of discrete groups
• \(K\)-homological finiteness and hyperbolic groups
• On spectral characterizations of amenability
• Rapidly Decreasing Functions in Reduced C ∗ -Algebras of Groups
• On the degree of rapid decay
• The rapid decay property and centroids in groups
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