Infinite volume and infinite injectivity radius

DOI10.4007/annals.2023.197.1.6OpenAlexW3120503560WikidataQ122977927 ScholiaQ122977927MaRDI QIDQ2100733

Mikołaj Frączyk, Tsachik Gelander

Publication date: 24 November 2022

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.00640

zbMATH Keywords

latticeslocally symmetric spacesthin groupsdiscrete subgroups of Lie groupsnormal subgroup theoremstationary random subgroups

Mathematics Subject Classification ID

Homogeneous spaces (22F30) Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Discrete subgroups of Lie groups (22E40) Rigidity results (53C24) Differential geometry of symmetric spaces (53C35) General properties and structure of real Lie groups (22E15)

Related Items (2)

Temperedness of $L^2(\Gamma {\setminus } G)$ and positive eigenfunctions in higher rank ⋮ Horospherical invariant measures and a rank dichotomy for Anosov groups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Stabilizer rigidity in irreducible group actions
• Discrete subgroups of algebraic groups over local fields of positive characteristics
• A generalization of the intermediate factors theorem
• Factor and normal subgroup theorems for lattices in products of groups
• On isolated points in the dual spaces of locally compact groups
• Stabilizers for ergodic actions of higher rank semisimple groups
• Dependence of Kazhdan constants on generating subsets
• Invariant random subgroups over non-Archimedean local fields
• Kazhdan-Margulis theorem for invariant random subgroups
• Homogeneous projective factors for actions of semi-simple Lie groups
• A structure theorem for actions of semisimple Lie groups
• On dense free subgroups of Lie groups
• Stationary characters on lattices of semisimple Lie groups
• Effective discreteness radius of stabilizers for stationary actions
• On the growth of \(L^2\)-invariants for sequences of lattices in Lie groups
• A Poisson formula for semi-simple Lie groups
• Éléments unipotents et sous-groupes paraboliques de groupes réductifs. I
• Uniformly recurrent subgroups
• On the Growth of L2-Invariants of Locally Symmetric Spaces, II: Exotic Invariant Random Subgroups in Rank One
• Lie groups beyond an introduction

This page was built for publication: Infinite volume and infinite injectivity radius