有限地给出了单群和测度等价

IF 0.4 4区数学 Q4 MATHEMATICS Colloquium Mathematicum Pub Date : 2021-01-22 DOI:10.4064/cm8610-11-2022

Antonio L'opez Neumann

引用次数: 0

摘要

我们展示了有限呈现的Kazhdan简单群的显式无限族，它们是成对的非测度等价的。这些群是作用于建筑物产物的晶格。我们通过研究它们的$L^2$-Betti数的消失和不消失得到了结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Finitely presented simple groups and measure equivalence

We exhibit explicit infinite families of finitely presented, Kazhdan, simple groups that are pairwise not measure equivalent. These groups are lattices acting on products of buildings. We obtain the result by studying vanishing and non-vanishing of their $L^2$-Betti numbers.

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来源期刊

Colloquium Mathematicum MATHEMATICS-

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Colloquium Mathematicum is a journal devoted to the publication of original papers of moderate length addressed to a broad mathematical audience. It publishes results of original research, interesting new proofs of important theorems and research-expository papers in all fields of pure mathematics. Two issues constitute a volume, and at least four volumes are published each year.

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