Rigidity of the measurable structure for algebraic actions of higher-rank Abelian groups
Rigidity of the measurable structure for algebraic actions of higher-rank Abelian groups
复制标题
高阶阿贝尔群代数作用的可测结构的刚性
DOI：
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发表时间：
2002
影响因子：
0.9
通讯作者：
R. Spatzier
中科院分区：
文献类型：
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作者：
B. Kalinin;R. Spatzier
研究了高阶阿贝尔代数作用下可测结构的刚性。特别地，我们证明了这些动作的遍历度量优于零熵度量和沿叶的哈尔度量。我们推导了同构和连接的各种刚性定理作为推论。
We investigate rigidity of measurable structure for higher-rank Abelian algebraic actions. In particular, we show that ergodic measures for these actions fiber over a zero entropy measure with Haar measures along the leaves. We deduce various rigidity theorems for isomorphisms and joinings as corollaries.
影响因子：
3.7
作者：
Ratner, Marina
通讯作者：
Ratner, Marina