Groups, Geometry, and Dynamics

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Volume 6, Issue 2, 2012, pp. 221–229
DOI: 10.4171/GGD/155

Published online: 2012-04-16

Profinite completions and Kazhdan’s property (T)

Menny Aka[1]

(1) The Hebrew University of Jerusalem, Israel

We show that property (T) is not profinite, that is, we construct two finitely generated residually finite groups which have isomorphic profinite completions, while one admits property (T) and the other does not. This settles a question raised by M. Kassabov.

Keywords: Profinite groups, profinite properties, Kazhdan’s property (T), arithmetic groups

Aka Menny: Profinite completions and Kazhdan’s property (T). Groups Geom. Dyn. 6 (2012), 221-229. doi: 10.4171/GGD/155