素泊松悬挂
Prime Poisson suspensions
摘要：
建立了Poisson悬置为素数的一个充要条件。证明是基于泊松悬架的$L^{2}$ -空间的Fock空间结构。我们给出了显式的无限测度保持系统的例子，特别是非奇异紧群旋转，从而引起总理泊松悬浮液。我们还比较了迄今已知的素变换的一些性质与我们的例子，表明这些例子是新的。
英文摘要：
We establish a necessary and sufficient condition for a Poisson suspension to be prime. The proof is based on the Fock space structure of the $L^{2}$-space of the Poisson suspension. We give examples of explicit infinite measure preserving systems, in particular non-singular compact group rotations that give rise to prime Poisson suspensions. We also compare some properties of so far known prime transformations with those of our examples, showing that these examples are new.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
