A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2017; you can also visit the original URL.
The file type is `application/pdf`

.

##
###
Approximation properties for noncommutative Lp -spaces of high rank lattices and nonembeddability of expanders

2018
*
Journal für die Reine und Angewandte Mathematik
*

This article contains two rigidity type results for {\mathrm{SL}(n,\mathbb{Z})} for large n that share the same proof. Firstly, we prove that for every {p\in[1,\infty]} different from 2, the noncommutative {L^{p}} -space associated with {\mathrm{SL}(n,\mathbb{Z})} does not have the completely bounded approximation property for sufficiently large n depending on p. The second result concerns the coarse embeddability of expander families constructed from {\mathrm{SL}(n,\mathbb{Z})} . Let X be a

doi:10.1515/crelle-2015-0043
fatcat:ck5yhm2tnff6leaafsetdhjgsm