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Kazhdan groups have cost 1

Published version
Peer-reviewed

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Authors

Hutchcroft, Tom 
Pete, Gábor 

Abstract

Abstract: 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.

Description

Funder: Alfréd Rényi Institute of Mathematics

Keywords

Article

Journal Title

Inventiones mathematicae

Conference Name

Journal ISSN

0020-9910
1432-1297

Volume Title

221

Publisher

Springer Berlin Heidelberg