Kazhdan property for spaces of continuous functions
de Cornulier, Yves
Bull. Belg. Math. Soc. Simon Stevin, Tome 13 (2007) no. 5, p. 899-902 / Harvested from Project Euclid
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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.
Publié le : 2007-01-14
Classification:  18F25,  22D10 
@article{1170347812,
     author = {de Cornulier, Yves},
     title = {Kazhdan property for spaces of continuous functions},
     journal = {Bull. Belg. Math. Soc. Simon Stevin},
     volume = {13},
     number = {5},
     year = {2007},
     pages = { 899-902},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1170347812}
}

de Cornulier, Yves. Kazhdan property for spaces of continuous functions. Bull. Belg. Math. Soc. Simon Stevin, Tome 13 (2007) no. 5, pp.  899-902. http://gdmltest.u-ga.fr/item/1170347812/