Abstract
In this paper, we show that certain families with relative property (T) have trivial first $\ell^2$-Betti number. We apply this to the elementary matrix group $\textnormal{EL}_n(\mathcal{R})$ where $\mathcal{R}$ is any countable unital ring of characteristic 0.
Citation
Talia Fernós. "Relative Property (T) and the Vanishing of the first $\ell^2$-Betti number." Bull. Belg. Math. Soc. Simon Stevin 17 (5) 851 - 857, december 2010. https://doi.org/10.36045/bbms/1292334060
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