标题： 有界上同调与正则树自同构群的酉表示 显示英文标题

标题： Bounded Cohomology and Unitary Representations of Automorphism Groups of Regular Trees

摘要： 我们计算了所有正次数下正则树的完整自同构群的连续有界上同调，系数来自任何不可约连续酉表示。 据作者所知，这似乎是第一个在所有正次数下确定连续有界上同调的情况，其系数来自任何不可约连续酉表示，并且在所有情况下都不为零。 显示英文摘要

摘要： We compute the continuous bounded cohomology of the full automorphism groups of regular trees in all positive degrees, with coefficients arising from any irreducible continuous unitary representations. To the author's knowledge, this seems to be the first instance where the continuous bounded cohomology is determined in all positive degrees with coefficients arising from any irreducible continuous unitary representations without being zero in all cases.