Geodesic
Profinite completions and Kazhdan’s property (T)
Menny Aka1
1The Hebrew University of Jerusalem, Israel
Groups, geometry, and dynamics, Tome 6 (2012) no. 2, pp. 221-229

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DOI

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.
DOI : 10.4171/ggd/155
Classification : 20-XX, 11-XX, 22-XX, 00-XX
Mots-clés : Profinite groups, profinite properties, Kazhdan’s property (T), arithmetic groups

Menny Aka  1

1 The Hebrew University of Jerusalem, Israel 
Menny Aka. Profinite completions and Kazhdan’s property (T). Groups, geometry, and dynamics, Tome 6 (2012) no. 2, pp. 221-229. doi: 10.4171/ggd/155
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     title = {Profinite completions and {Kazhdan{\textquoteright}s} property {(T)}},
     journal = {Groups, geometry, and dynamics},
     pages = {221--229},
     year = {2012},
     volume = {6},
     number = {2},
     doi = {10.4171/ggd/155},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/155/}
}
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