[Papers] [Alex Furman]

Weak notions of normality and vanishing up to rank in L^2-cohomology

We study vanishing results for L^2-cohomology of countable groups under the presence of subgroups that satisfy some weak normality condition. As a consequence, we show that the L^2-Betti numbers of SL_n(R) for any infinite integral domain R vanish below degree n-1. Another application is the vanishing of all L^2-Betti numbers for Thompson’s groups F and T.

Authors: U. Bader , A. Furman, R. Sauer

Int. Math. Res. Not. IMRN 2014, no. 12, 3177 - 3189. doi: 10.1093/imrn/rnt029
Download: published-pdf | pdf | arXiv:1206.4793

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[Papers] [Alex Furman]