Furstenberg maps for CAT(0) targets of finite telescopic dimension

被引：3

作者：

Bader, Uri ^{[1
]}

Duchesne, Bruno ^{[2
]}

Lecureux, Jean ^{[3
]}

机构：

[1] Technion Israel Inst Technol, Dept Math, IL-32000 Haifa, Israel

[2] Univ Lorraine, Inst Elie Cartan Lorraine, BP 70239, F-54506 Vandoeuvre Les Nancy, France

[3] Univ Paris 11, Fac Sci Orsay, Dept Math, Batiment 425, F-91405 Orsay, France

来源：

ERGODIC THEORY AND DYNAMICAL SYSTEMS | 2016年 / 36卷

关键词：

NONPOSITIVELY CURVED SPACES; BOUNDED COHOMOLOGY; POISSON FORMULA; ISOMETRY GROUPS; THEOREM; SUPERRIGIDITY; BOUNDARIES; LATTICES;

D O I：

10.1017/etds.2014.147

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider actions of locally compact groups G on certain CAT(0) spaces X by isometries. The CAT(0) spaces we consider have finite dimension at large scale. In case B is a G-boundary, that is a measurable G-space with some amenability and ergodicity properties, we prove the existence of equivariant maps from B to the visual boundary partial derivative X.

引用

页码：1723 / 1742

页数：20

共 29 条

[1] ARITHMETIC LATTICES AND THE MARGULIS MEASURE [J].

ACAMPO, N ;

BURGER, M .

INVENTIONES MATHEMATICAE, 1994, 116 (1-3) :1-25

[2] Amenable isometry groups of Hadamard spaces [J].

Adams, S ;

Ballmann, W .

MATHEMATISCHE ANNALEN, 1998, 312 (01) :183-195

[3] Actions of amenable equivalence relations on CAT(0) fields [J].

Anderegg, Martin ;

Henry, Philippe .

ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2014, 34 :21-54

[4]

[Anonymous], 1991, RESULTS MATH RELATED

[5]

Bader U., 2013, ARXIV13113696

[6]

Bader U., 2014, P ICM 2014

[7] BOUNDARIES, WEYL GROUPS, AND SUPERRIGIDITY [J].

Bader, Uri ;

Furman, Alex .

ELECTRONIC RESEARCH ANNOUNCEMENTS IN MATHEMATICAL SCIENCES, 2012, 19 :41-48

[8]

Bridson M. R., 1999, FUNDAMENTAL PRINCIPL, V319

[9] Continuous bounded cohomology and applications to rigidity theory [J].

Burger, M ;

Monod, N .

GEOMETRIC AND FUNCTIONAL ANALYSIS, 2002, 12 (02) :219-280

[10] Isometry groups of non-positively curved spaces: structure theory [J].

Caprace, Pierre-Emmanuel ;

Monod, Nicolas .

JOURNAL OF TOPOLOGY, 2009, 2 (04) :661-700

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