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Kazhdan groups have cost 1

Accepted version
Peer-reviewed

Type

Article

Change log

Authors

Pete, G 

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

Keywords

math.GR, math.GR, math.DS, math.PR

Journal Title

Inventiones Mathematicae

Conference Name

Journal ISSN

0020-9910
1432-1297

Volume Title

221

Publisher

Springer Science and Business Media LLC

Rights

All rights reserved