Monotony of certain free group representations
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Publication:5927504
DOI10.1006/jfan.2000.3663zbMath0967.43003OpenAlexW2070392807MaRDI QIDQ5927504
Publication date: 20 March 2001
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jfan.2000.3663
Unitary representations of locally compact groups (22D10) Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65)
Related Items (12)
Free group representations: Duplicity and oddity on the boundary ⋮ La monotonia di rappresentazioni del gruppo libero ⋮ Free group representations from vector-valued multiplicative functions. II ⋮ Groups of hierarchomorphisms of trees and related Hilbert spaces ⋮ A new family of representations of virtually free groups ⋮ Stability properties of multiplicative representations of the free group ⋮ Asymptotic Schur orthogonality in hyperbolic groups with application to monotony ⋮ Size of matrix coefficients characterizes anisotropic principal series representations of the free group ⋮ Free group representations from vector-valued multiplicative functions. I ⋮ Paschke's conjecture for the endpoint anisotropic series representations of the free group ⋮ Some spherical functions on hyperbolic groups ⋮ Some irreducible free group representations in which a linear combination of the generators has an eigenvalue
Cites Work
- Simplicity of the \(C^*\)-algebra associated with the free group on two generators
- More irreducible boundary representations of free groups
- Restriction problem for anisotropic principal series of free groups
- FREE-PRODUCT GROUPS, CUNTZ-KRIEGER ALGEBRAS, AND COVARIANT MAPS
- Harmonic analysis for anisotropic random walks on homogeneous trees
- Pure eigenstates for the sum of generators of the free group.
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