منابع مشابه
Relative Kazhdan Property
We perform a systematic investigation of Kazhdan’s relative Property (T) for pairs (G,X), G a locally compact group and X any subset. When G is a connected Lie group or a p-adic algebraic group, we provide an explicit characterization of subsets X ⊂ G such that (G,X) has relative Property (T). In order to extend this characterization to lattices Γ ⊂ G, a notion of “resolutions” is introduced, a...
متن کاملRelative Kazhdan–lusztig Cells
In this paper, we study the Kazhdan–Lusztig cells of a Coxeter group W in a “relative” setting, with respect to a parabolic subgroup WI ⊆ W . This relies on a factorization of the Kazhdan–Lusztig basis {Cw} of the corresponding (multi-parameter) Iwahori–Hecke algebra with respect to WI . We obtain two applications to the “asymptotic case” in type Bn, as introduced by Bonnafé and Iancu: we show ...
متن کاملRips Construction and Kazhdan Property (t)
We show that for any non–elementary hyperbolic group H and any finitely presented group Q, there exists a short exact sequence 1 → N → G → Q → 1, where G is a hyperbolic group and N is a quotient group of H . As an application we construct a representation rigid but not superrigid hyperbolic group, show that adding relations of the form xn = 1 to a presentation of a hyperbolic group may drastic...
متن کامل6 Kazhdan ’ S Property T and C ∗ - Algebras
Kazhdan’s property T has recently been imported to the C∗-world by Bekka. Our objective is to extend a well known fact to this realm; we show that a nuclear C∗-algebra with property T is finite dimensional (for all intents and purposes). Though the result is not surprising, the proof is a bit more complicated than the group case.
متن کاملProperty and Relative Status
Property does many things-it incentivizes productive activity, facilitates exchange, forms an integral part of individual identity, and shapes communities. But property does something equally fundamental: it communicates. And perhaps the most ubiquitous and important messages that property communicates have to do with relative status, with the material world defining and reinforcing a variety o...
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ژورنال
عنوان ژورنال: Annales Scientifiques de l’École Normale Supérieure
سال: 2006
ISSN: 0012-9593
DOI: 10.1016/j.ansens.2005.12.006