Size of matrix coefficients characterizes anisotropic principal series representations of the free group

DOI10.1007/S00605-009-0105-3zbMath1193.22007OpenAlexW2043708944MaRDI QIDQ971921

M. Gabriella Kuhn, Tim Steger

Publication date: 17 May 2010

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-009-0105-3

zbMATH Keywords

free groupboundary realizationirreducible unitary representation

Mathematics Subject Classification ID

Positive matrices and their generalizations; cones of matrices (15B48) Discrete subgroups of Lie groups (22E40) Unitary representations of locally compact groups (22D10) Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45)

Cites Work

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• Spherical functions and harmonic analysis on free groups
• An example of a non nuclear C*-algebra, which has the metric approximation property
• Free group representations from vector-valued multiplicative functions. I
• More irreducible boundary representations of free groups
• Some irreducible free group representations in which a linear combination of the generators has an eigenvalue
• Harmonic analysis for anisotropic random walks on homogeneous trees
• Paschke's conjecture for the endpoint anisotropic series representations of the free group
• Monotony of certain free group representations
• Pure eigenstates for the sum of generators of the free group.

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