Higher order mixing and rigidity of algebraic actions on compact Abelian groups

被引：0

作者：

Siddhartha Bhattacharya

机构：

[1] Tata Institute of Fundamental Research,School of Mathematics

来源：

Israel Journal of Mathematics | 2003年 / 137卷

关键词：

Haar Measure; Discrete Group; Proper Subgroup; Dual Module; Compact Abelian Group;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Let Γ be a discrete group and fori=1,2; letαi be an action of Γ on a compact abelian groupXi by continuous automorphisms ofXi. We study measurable equivariant mapsf: (X1,α1)→(X2,α2), and prove a rigidity result under certain assumption on the order of mixing of the underlying actions.

引用

页码：211 / 221

页数：10

共 50 条

[41] Higher algebraic K-theory for actions of diagonalizable groups
Gabriele Vezzosi
Angelo Vistoli
Inventiones mathematicae, 2003, 153 : 1 - 44
[42] Algebraic actions of the discrete Heisenberg group and other non-abelian groups
Einsiedler M.
Rindler H.
aequationes mathematicae, 2001, 62 (1) : 117 - 135
[43] THE RELLICH LEMMA ON COMPACT ABELIAN GROUPS AND EQUATIONS OF INFINITE ORDER
Gorka, Przemyslaw
Kostrzewa, Tomasz
Reyes, Enrique G.
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2013, 10 (02)
[44] ACTIONS OF GROUPS OF ODD ORDER ON COMPACT, ORIENTABLE MANIFOLDS
SANCHEZ, CU
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1976, 54 (JAN) : 445 - 448
[45] Algebraic models for equivariant homotopy theory over Abelian compact Lie groups
Michael A. Mandell
Laura Scull
Mathematische Zeitschrift, 2002, 240 : 261 - 287
[46] Algebraic models for equivariant homotopy theory over Abelian compact Lie groups
Mandell, MA
Scull, L
MATHEMATISCHE ZEITSCHRIFT, 2002, 240 (02) : 261 - 287
[47] Certain actions of finite abelian groups on higher dimensional noncommutative tori
He, Zhuofeng
MUENSTER JOURNAL OF MATHEMATICS, 2019, 12 (02): : 473 - 495
[48] ALGEBRAIC ENTROPY FOR ABELIAN GROUPS
Dikranjan, Dikran
Goldsmith, Brendan
Salce, Luigi
Zanardo, Paolo
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2009, 361 (07) : 3401 - 3434
[49] Representations of Abelian algebraic groups
Langlands, RP
PACIFIC JOURNAL OF MATHEMATICS, 1997, : 231 - 250
[50] Cocycle rigidity of abelian partially hyperbolic actions
Zhenqi Jenny Wang
Israel Journal of Mathematics, 2018, 225 : 147 - 191

← 1 2 3 4 5 →