Abstract
We combine results of Vaserstein and Shalom to prove Kazhdan's Property (T) for various topological groups of the form $\textnormal{SL}(n,\mathcal{C}(X,\mathbb R))$ or $\textnormal{SL}(n,\mathcal{C}(X,\mathbb C))$, for $n\ge 3$ and $X$ a topological subspace of a Euclidean space.
Citation
Yves de Cornulier. "Kazhdan property for spaces of continuous functions." Bull. Belg. Math. Soc. Simon Stevin 13 (5) 899 - 902, January 2007. https://doi.org/10.36045/bbms/1170347812
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