Weak Notions of Normality and Vanishing up to Rank in L2-Cohomology
U Bader, A Furman, R Sauer - … Mathematics Research Notices, 2014 - ieeexplore.ieee.org
U Bader, A Furman, R Sauer
International Mathematics Research Notices, 2014•ieeexplore.ieee.orgWe 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.
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.
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.
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