Kazhdan groups acting on the circle

被引：41

作者：

Navas, A ^{[1
]}

机构：

[1] Ecole Normale Super Lyon, Unite Math Pures & Appl, UMR 5669, CNRS, F-69364 Lyon 07, France

来源：

ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE | 2002年 / 35卷 / 05期

关键词：

D O I：

10.1016/S0012-9593(02)01107-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that every homomorphism from a discrete Kazhdan group to the group of orientation-preserving diffeomorphisms of the circle of class C1+alpha (alpha > 1/2) has a finite image. (C) 2002 Editions scientifiques et medicales Elsevier SAS.

引用

页码：749 / 758

页数：10

共 22 条

[1] LOCALLY COMPACT-GROUPS ACTING ON TREES AND PROPERTY-T [J].

ALPERIN, R .

MONATSHEFTE FUR MATHEMATIK, 1982, 93 (04) :261-265

[2] THE GEOMETRY OF TEICHMULLER SPACE VIA GEODESIC CURRENTS [J].

BONAHON, F .

INVENTIONES MATHEMATICAE, 1988, 92 (01) :139-162

[3] Sulphonylurea-induced hypoglycaemia in type 2 diabetes mellitus: a review [J].

Burge, MR ;

Sood, V ;

Sobhy, TA ;

Rassam, MG ;

Schade, DS .

DIABETES OBESITY & METABOLISM, 1999, 1 (04) :199-206

[4]

BURGER M, IN PRESS GEOMETRIC F

[5] CONVERGENCE GROUPS AND SEIFERT FIBERED 3-MANIFOLDS [J].

CASSON, A ;

JUNGREIS, D .

INVENTIONES MATHEMATICAE, 1994, 118 (03) :441-456

[6]

DELAHARPE P, 1989, ASTERISQUE, V175

[7] Real-analytic actions of lattices [J].

Farb, B ;

Shalen, P .

INVENTIONES MATHEMATICAE, 1999, 135 (02) :273-296

[8] CONVERGENCE GROUPS ARE FUCHSIAN-GROUPS [J].

GABAI, D .

ANNALS OF MATHEMATICS, 1992, 136 (03) :447-510

[9]

Ghys É, 1999, INVENT MATH, V137, P199, DOI 10.1007/s002220050329

[10] A REMARKABLE GROUP OF DIFFEOMORPHISMS OF THE CIRCLE [J].

GHYS, E ;

SERGIESCU, V .

COMMENTARII MATHEMATICI HELVETICI, 1987, 62 (02) :185-239

← 1 2 3 →