Free group representations from vector-valued multiplicative functions. II

DOI10.1007/s00209-016-1692-zzbMath1353.43007arXiv1501.03103OpenAlexW2092082661MaRDI QIDQ343647

Tim Steger, M. Gabriella Kuhn, Sandra Saliani

Publication date: 28 November 2016

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.03103

zbMATH Keywords

free groupboundary realizationirreducible unitary representationsummability methods for matrix coefficients

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Positive matrices and their generalizations; cones of matrices (15B48) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) Unitary representations of locally compact groups (22D10) Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Positive definite functions on groups, semigroups, etc. (43A35)

Related Items (2)

Free group representations: Duplicity and oddity on the boundary ⋮ On Cannon cone types and vector-valued multiplicative functions for a genus-two surface group

Cites Work

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• Spherical functions and harmonic analysis on free groups
• Free group representations from vector-valued multiplicative functions. I
• A new family of representations of virtually 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
• Spectral Properties of Matrices which have Invariant Cones
• Monotony of certain free group representations
• Pure eigenstates for the sum of generators of the free group.

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