论文标题
在渐近和连续的组上
On Asymptotic and Continuous Group Orlicz Cohomology
论文作者
论文摘要
我们将一些结果概括为渐近和连续的$ l^p $ - 生物学对Orlicz的同胞学。特别是，我们表明，渐近orlicz的共同体是一种准等级的不变性，并且在局部紧凑的第二个可计数基团的情况下，这两个概念重合。学位$ 1 $的情况进行了更详细的研究。
We generalize some results on asymptotic and continuous group $L^p$-cohomology to Orlicz cohomology. In particular, we show that asymptotic Orlicz cohomology is a quasi-isometry invariant and that both notions coincide in the case of a locally compact second countable group. The case of degree $1$ is studied in more detail.
