Strong property (T) for higher rank lattices
نویسندگان
چکیده
منابع مشابه
Distributive lattices with strong endomorphism kernel property as direct sums
Unbounded distributive lattices which have strong endomorphism kernel property (SEKP) introduced by Blyth and Silva in [3] were fully characterized in [11] using Priestley duality (see Theorem 2.8}). We shall determine the structure of special elements (which are introduced after Theorem 2.8 under the name strong elements) and show that these lattices can be considered as a direct product of ...
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We establish a new spectral criterion for Kazhdan’s property (T ) which is applicable to a large class of discrete groups defined by generators and relations. As the main application, we prove property (T ) for the groups ELn(R), where n ≥ 3 and R is an arbitrary finitely generated associative ring. We also strengthen some of the results on property (T ) for Kac-Moody groups from [DJ].
متن کاملProperty ( T ) for Noncommutative Universal Lattices
We establish a new spectral criterion for Kazhdan’s property (T ) which is applicable to a large class of discrete groups defined by generators and relations. As the main application, we prove property (T ) for the groups ELn(R), where n ≥ 3 and R is an arbitrary finitely generated associative ring. We also strengthen some of the results on property (T ) for Kac-Moody groups from [DJ].
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We review topologically Nistor’s computation of the homogeneous part of the periodic cyclic cohomology of crossed products Γ⋉A of torsion-free discrete groups Γ with a complex Γ-algebra A. We use periodic cyclic cohomology associated to bornological algebras. Let G be a complex connected semisimple Lie group and B be a minimal parabolic subgroup of G. Applied to torsion-free discrete subgroups ...
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(2) the product H × H of 2 hyperbolic planes. In short, among all the symmetric spaces of noncompact type with rank ≥ 2, there are only two manifolds that are minimal with respect to the partial order defined by totally geodesic embeddings. Our main theorem provides an analogue of this result for noncompact finitevolume spaces that are locally symmetric, rather than globally symmetric, but, in ...
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ژورنال
عنوان ژورنال: Acta Mathematica
سال: 2019
ISSN: 0001-5962,1871-2509
DOI: 10.4310/acta.2019.v223.n1.a3