A Kazhdan group with an infinite outer automorphism group

zbMATH Open1399.22011arXiv1110.3407MaRDI QIDQ4603296

T. Preda

Publication date: 19 February 2018

Abstract: D. Kazhdan has introduced in 1967 the Property (T) for local compact groups. In this article we prove that for $ngeq3$ and $minmathbbN$ the group $S{L}_n(extbfK)ltimesmathcal{M}_{n,m}(extbfK)$ is a Kazhdan group having the outer automorphism group infinite.

Full work available at URL: https://arxiv.org/abs/1110.3407

zbMATH Keywords

representations of topological groupsKazhdan's Property (T)Mautner's lemma

Mathematics Subject Classification ID

Automorphism groups of locally compact groups (22D45) Unitary representations of locally compact groups (22D10)

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