Dependence of Kazhdan constants on generating subsets

DOI10.1007/BF02773155zbMath0993.22003OpenAlexW2071912548MaRDI QIDQ1601464

Andrzej Żuk, Tsachik Gelander

Publication date: 17 September 2002

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02773155

zbMATH Keywords

generating setsunitary representationsKazhdan constantsinvariant vectors

Mathematics Subject Classification ID

Unitary representations of locally compact groups (22D10)

Related Items (11)

Uniform Kazhdan constants and paradoxes of the affine plane ⋮ ON KAZHDAN CONSTANTS OF FINITE INDEX SUBGROUPS IN SL_n(ℤ) ⋮ KAZHDAN CONSTANTS OF GROUP EXTENSIONS ⋮ Dense embeddings of surface groups ⋮ Compactifications and algebraic completions of limit groups ⋮ Adyan-Lisenok groups and (U) condition. ⋮ Uniform independence in linear groups. ⋮ Infinitesimal topological generators and quasi non-Archimedean topological groups ⋮ On deformations of \(F_n\) in compact Lie groups ⋮ Navigating in the Cayley graphs of \(\text{SL}_N(\mathbb{Z})\) and \(\text{SL}_N(\mathbb{F}_p)\). ⋮ Infinite volume and infinite injectivity radius

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• Discrete groups, expanding graphs and invariant measures. Appendix by Jonathan D. Rogawski
• Property (T) and Kazhdan constants for discrete groups
• Explicit Kazhdan constants for representations of semisimple and arithmetic groups
• Uniform pointwise bounds for matrix coefficients of unitary representations and applications to Kazhdan constants
• Kazhdan constants for SL (3, Z).
• For 𝑛>3 there is only one finitely additive rotationally invariant measure on the 𝑛-sphere defined on all Lebesgue measurable subsets
• Bounded generation and Kazhdan's property (T)

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