Kazhdan groups have cost 1

• 成果类型: Article
• 署名作者: Hutchcroft, Tom; Pete, Gabor
• 署名单位: University of Cambridge; Budapest University of Technology & Economics
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-020-00967-6
• 发表日期: 2020
• 页码: 873-891
• 关键词: invariant percolation; property t; rank

摘要

We prove that every countably infinite group with Kazhdan's property (T) has cost 1, answering a well-known question of Gaboriau. It remains open if they have fixed price 1.