论文标题
通勤鲍勒汽车的串联
Coboundaries of commuting Borel automorphisms
论文作者
论文摘要
我们表明，如果$ s，t $是标准borel空间的两个通勤自动形态，这样它们就会产生免费的borel $ \ z^2 $ -Action，则$ s $，而$ t $没有相同的实际有价值的串联。我们还证明了Borel $ \ Z^d $ Actions的Rokhlin引理形式较弱。
We show that if $S,T$ are two commuting automorphisms of standard Borel space such that they generate a free Borel $\Z^2$-action then $S$ and $T$ do not have same sets of real valued bounded coboundaries. We also prove a weaker form of Rokhlin Lemma for Borel $\Z^d$-actions.
