AI 中文总结
研究固定价格一的准则，通过证明灵活准则及建立局部紧版本，得出两个非紧等局部紧群的乘积及其格都有固定价格一的结论。
AI 中文摘要
我们证明了一个适用于固定价格一的灵活准则，特别适用于局部域上的高阶格和仿射建筑的自同构群，包括奇异建筑中的格。它还恢复了顺从群的固定价格一。然后我们建立了一个局部紧版本，并推断出两个非紧、紧生成、幺模局部紧群的每个乘积以及这种乘积中的每个格都有固定价格一。
英文摘要
We prove a flexible criterion for fixed price one, applying in particular to higher-rank lattices over local fields and automorphism groups of affine buildings, including lattices in exotic buildings. It also recovers fixed price one for amenable groups. We then establish a locally compact version, and deduce that every product of two noncompact, compactly generated, unimodular locally compact groups, as well as every lattice in such a product, has fixed price one.
Comments10 pages
