局部紧量子群的顺从性和协变内射性
Amenability and covariant injectivity of locally compact quantum groups
摘要：
众所周知，局部紧群$G$的顺从性与其von Neumann代数$\mathcal{L}(G)$的内射性之间的等价性在一般情况下并不成立。本文证明了当$\mathcal{L}(G)$是关于自然作用的$\mathcal{T}(L_2(G))$ -模时，对于所有局部紧群，等价性持续存在.事实上，我们证明了一个适当的版本，这一结果的每一个局部紧的量子群。
英文摘要：
As is well known, the equivalence between amenability of a locally compact group $G$ and injectivity of its von Neumann algebra $\mathcal{L}(G)$ does not hold in general beyond inner amenable groups. In this paper, we show that the equivalence persists for all locally compact groups if $\mathcal{L}(G)$ is considered as a $\mathcal{T}(L_2(G))$-module with respect to a natural action. In fact, we prove an appropriate version of this result for every locally compact quantum group.
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。
