Relative Property (T) and the Vanishing of the first $\ell^2$-Betti number
Fernós, Talia
Bull. Belg. Math. Soc. Simon Stevin, Tome 17 (2010) no. 1, p. 851-857 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
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.
Publié le : 2010-12-15
Classification:  
@article{1292334060,
     author = {Fern\'os, Talia},
     title = {Relative Property (T) and the Vanishing of the first $\ell^2$-Betti number},
     journal = {Bull. Belg. Math. Soc. Simon Stevin},
     volume = {17},
     number = {1},
     year = {2010},
     pages = { 851-857},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1292334060}
}

Fernós, Talia. Relative Property (T) and the Vanishing of the first $\ell^2$-Betti number. Bull. Belg. Math. Soc. Simon Stevin, Tome 17 (2010) no. 1, pp.  851-857. http://gdmltest.u-ga.fr/item/1292334060/