$\mathbb {F}_n$的非轨道等效作用

IF 1.3 1区数学 Q1 MATHEMATICS

Annales Scientifiques De L Ecole Normale Superieure Pub Date : 2009-07-01 DOI:10.24033/ASENS.2106

A. Ioana

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引用次数: 12

摘要

对于任意2≤n≤∞，我们构造了自由群F_n的非轨道等效作用的具体1参数族。这些作用产生于广义伯努利作用和作用Fn↷(T^2， λ^2)之间的对角积，其中F_n被看作是SL_(2)(Z)的子群。

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Non-orbit equivalent actions of $\mathbb {F}_n$

For any 2 ≤ n ≤ ∞, we construct a concrete 1-parameter family of non-orbit equivalent actions of the free group F_n. These actions arise as diagonal products between a generalized Bernoulli action and the action Fn ↷ (T^2, λ^2), where F_n is seen as a subgroup of SL_(2)(Z).

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来源期刊

Annales Scientifiques De L Ecole Normale Superieure 数学-数学

CiteScore

3.00

自引率

5.30%

发文量

审稿时长

>12 weeks

期刊介绍： The Annales scientifiques de l''École normale supérieure were founded in 1864 by Louis Pasteur. The journal dealt with subjects touching on Physics, Chemistry and Natural Sciences. Around the turn of the century, it was decided that the journal should be devoted to Mathematics. Today, the Annales are open to all fields of mathematics. The Editorial Board, with the help of referees, selects articles which are mathematically very substantial. The Journal insists on maintaining a tradition of clarity and rigour in the exposition. The Annales scientifiques de l''École normale supérieures have been published by Gauthier-Villars unto 1997, then by Elsevier from 1999 to 2007. Since January 2008, they are published by the Société Mathématique de France.