An analytic series of irreducible representations of the free group

DOI10.5802/aif.1124zbMath0634.22003OpenAlexW2088428865MaRDI QIDQ1096725

Ryszard Szwarc

Publication date: 1988

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1988__38_1_87_0

zbMATH Keywords

Hilbert spacesfree groupunitary representationsuniformly bounded representationsanalytic series

Mathematics Subject Classification ID

Unitary representations of locally compact groups (22D10)

Related Items

Equivalence of two series of spherical representations of a free group, A Short Proof of the Grigorchuk-Cohen Cogrowth Theorem, Orbit inequivalent actions for groups containing a copy of \(\mathbb{F}_{2}\), Self-adjointness and limit pointness for adjacency operators on a tree, Groups acting on trees and approximation properties of the Fourier algebra, Unitarizability, Maurey-Nikishin factorization, and Polish groups of finite type, A CONTINUUM OF C*-NORMS ON (H) ⊗ (H) AND RELATED TENSOR PRODUCTS, On simplicity of reduced C*-algebras of groups, Free group C*-algebras associated with ℓ_p

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Poisson transform and representations of a free group
• Spherical functions and harmonic analysis on free groups
• An example of a non nuclear C*-algebra, which has the metric approximation property
• An analytic family of uniformly bounded representations of free groups
• Radial functions on free groups and a decomposition of the regular representation into irreducible components.
• Uniformly Bounded Representations and Harmonic Analysis of the 2 x 2 Real Unimodular Group