Characters of algebraic groups over number fields

Camille Francini, Mohammed El Bachir Bekka

Publication date: 4 April 2023

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.07497

zbMATH Keywords

algebraic groups von Neumann algebras invariant random subgroups characters of discrete groups Ratner's theory

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Ergodic theory on groups (22D40) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) Unitary representations of locally compact groups (22D10)

Related Items (2)

Factorial multiparameter Hecke von Neumann algebras and representations of groups acting on right-angled buildings ⋮ Characters of the group $\mathrm{EL}_d (\mathcal{R})$ for a commutative Noetherian ring $\mathcal{R}$

Cites Work

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Van der Corput's difference theorem: some modern developments
Finite factor representations of Higman-Thompson groups.
Homomorphismes abstraits de groupes algébriques simples
Théorie de Mackey pour les groupes de Lie algébriques
Die unzerlegbaren Charaktere einiger diskreter Gruppen
Invariant measures for actions of unipotent groups over local fields on homogeneous spaces
Raghunathan's conjectures for Cartesian products of real and $p$-adic Lie groups
Stationary characters on lattices of semisimple Lie groups
Character rigidity of simple algebraic groups
Operator-algebraic superridigity for $\mathrm{SL}_{n}(\mathbb Z)$, $n \geq 3$
Some finiteness properties of adele groups over number fields
Über unitäre Darstellungen abzählbarer, diskreter Gruppen
Über positiv-definite Klassenfunktionen abzählbarer Gruppen
Type I $C^ *$-algebras
Die unzerlegbaren, positiv-definiten Klassenfunktionen der abzählbar unendlichen, symmetrischen Gruppe
Positivedefinite functions on Chevalley groups
Character rigidity for special linear groups.
Fully Reducible Subgroups of Algebraic Groups
Characters of nilpotent groups
The CCR Property for Algebraic Groups
Measurable Quotients of Unipotent Translations on Homogeneous Spaces
On the space of ergodic invariant measures of unipotent flows
Primitive Ideal Spaces of Discrete Rational Nilpotent Groups
On the density of sets in $(A/ℚ)^{n}$ defined by polynomials
Spectral gap property and strong ergodicity for groups of affine transformations of solenoids
On the Classification of Metabelian Lie Algebras
Rigidity of measures invariant under semisimple groups in positive characteristic

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