CHARACTERISTIC FACTORS FOR COMMUTING ACTIONS OF AMENABLE GROUPS

被引：1

作者：

Robertson, Donald ^{[1
]}

机构：

[1] Ohio State Univ, Dept Math, 231 West 18th Ave, Columbus, OH 43210 USA

来源：

JOURNAL D ANALYSE MATHEMATIQUE | 2016年 / 129卷

关键词：

ERGODIC AVERAGES; SZEMEREDI; THEOREM; CONVERGENCE; EXTENSIONS;

D O I：

10.1007/s11854-016-0019-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We describe characteristic factors for certain averages arising from commuting actions of locally compact second-countable amenable groups. Under some ergodicity assumptions, we use these factors to prove a form of multiple recurrence for three such actions.

引用

页码：165 / 196

页数：32

共 50 条

[41] On the bounded cohomology for ergodic nonsingular actions of amenable groups
Danilenko, Alexandre, I
ISRAEL JOURNAL OF MATHEMATICS, 2021, 243 (01) : 421 - 436
[42] Actions of discrete amenable groups into the normalizers of full groups of ergodic transformations
Masuda, Toshihiko
ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2024, 44 (11) : 3290 - 3315
[43] On the bounded cohomology for ergodic nonsingular actions of amenable groups
Alexandre I. Danilenko
Israel Journal of Mathematics, 2021, 243 : 421 - 436
[44] APPROXIMATION FOR ACTIONS OF AMENABLE-GROUPS AND TRANSVERSAL AUTOMORPHISMS
LODKIN, AA
VERSHIK, AM
LECTURE NOTES IN MATHEMATICS, 1985, 1132 : 331 - 346
[45] Faces of simplices of invariant measures for actions of amenable groups
Frej, Bartosz
Huczek, Dawid
MONATSHEFTE FUR MATHEMATIK, 2018, 185 (01): : 61 - 80
[46] OUTER CONJUGACY FOR ACTIONS OF CONTINUOUS AMENABLE-GROUPS
GOLODETS, VY
SINELSHCHIKOV, SD
PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, 1987, 23 (05) : 737 - 769
[47] The Spectral Theory of Amenable Actions and Invariants of Discrete Groups
Amos Nevo
Geometriae Dedicata, 2003, 100 : 187 - 218
[48] ACTIONS OF AMENABLE-GROUPS ON VONNEUMANN-ALGEBRAS
OCNEANU, A
COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1980, 291 (06): : 399 - 401
[49] Mean topological dimension for actions of discrete amenable groups
Coornaert, M
Krieger, F
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2005, 13 (03) : 779 - 793
[50] Invariant measures for actions of congruent monotileable amenable groups
Cecchi, Paulina
Isabel Cortez, Maria
GROUPS GEOMETRY AND DYNAMICS, 2019, 13 (03) : 821 - 839

← 1 2 3 4 5 →