Relative property (T) and linear groups.

DOI10.5802/aif.2227zbMath1175.22004arXivmath/0411527OpenAlexW1532925990MaRDI QIDQ877547

Talia Fernós

Publication date: 24 April 2007

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0411527

zbMATH Keywords

linear algebraic groupsgroup extensionsrelative property (T)

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Discrete subgroups of Lie groups (22E40) Unitary representations of locally compact groups (22D10) Linear algebraic groups over local fields and their integers (20G25) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20)

Related Items (14)

ON IMAGES OF REAL REPRESENTATIONS OF SPECIAL LINEAR GROUPS OVER COMPLETE DISCRETE VALUATION RINGS ⋮ On II\(_{1}\) factors arising from 2-cocycles of \(w\)-rigid groups ⋮ Free product actions with relative property (T) and trivial outer automorphism groups ⋮ Reduced 1-cohomology and relative property (T) ⋮ \(\operatorname{SL}_2\) representations and relative property (T) ⋮ Rigidity for group actions on homogeneous spaces by affine transformations ⋮ Orbit inequivalent actions for groups containing a copy of \(\mathbb{F}_{2}\) ⋮ Amalgamated free products of weakly rigid factors and calculation of their symmetry groups ⋮ Cocycle and orbit equivalence superrigidity for malleable actions of \(w\)-rigid groups ⋮ Strong rigidity of generalized Bernoulli actions and computations of their symmetry groups ⋮ Relative Property (T) for nilpotent subgroups ⋮ Relative property (T) for the subequivalence relations induced by the action of SL\(_2(\mathbb Z)\) on \(\mathbb T^2\) ⋮ On the first cohomology of automorphism groups of graph groups ⋮ Relative Kazhdan Property

Cites Work

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• Elementary structure of real algebraic varieties
• Groups of integral representation type
• On isolated points in the dual spaces of locally compact groups
• Some new rank-1 phenomena for groups of diffeomorphisms of the circle
• Strong rigidity of \(\text{II}_1\) factors arising from malleable actions of \(w\)-rigid groups. I
• Universal lattices and property \(\tau\)
• Groupes reductifs
• Connection of the dual space of a group with the structure of its closed subgroups
• Solution of the congruence subgroup problem for \(\text{SL}_ n\) \((n\geq 3)\) and \(\text{Sp}_{2n}\) \((n\geq 2)\)
• Group pairs with property (T), from arithmetic lattices
• A theorem of Stone and von Neumann
• Induced representation of locally compact groups. I
• Kazhdan constants for SL (3, Z).
• ON THE STRUCTURE OF THE SPECIAL LINEAR GROUP OVER POLYNOMIAL RINGS
• Borel cocycles, approximation properties and relative property T
• An uncountable family of nonorbit equivalent actions of 𝔽_{𝕟}
• SOME COMPUTATIONS OF 1-COHOMOLOGY GROUPS AND CONSTRUCTION OF NON-ORBIT-EQUIVALENT ACTIONS
• Orbit equivalence and actions of
• Linear algebraic groups.
• Bounded generation and Kazhdan's property (T)
• The word and Riemannian metrics on lattices of semisimple groups

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