论文标题

通用的非泊松悬浮液类型$ iii_1 $

Generic nonsingular Poisson suspension is of type $III_1$

论文作者

Danilenko, Alexandre I., Kosloff, Zemer, Roy, Emmanuel

论文摘要

结果表明,对于密集的$g_δ$ -subset,非义转换子组(标准的无限$σ$ - 芬特度量空间),其泊松悬架是非词汇的,相应的泊松悬架是en o godicic且Krieger的类型$ iii_1 $。

It is shown that for a dense $G_δ$-subset of the subgroup of nonsingular transformations (of a standard infinite $σ$-finite measure space) whose Poisson suspensions are nonsingular, the corresponding Poisson suspensions are ergodic and of Krieger's type $III_1$.

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