Weak amenability of CAT(0) cubical groups
| dc.creator | Higson, Nigel | |
| dc.creator | Guentner, Erik | |
| dc.date | 2007-02-20 | |
| dc.date.accessioned | 2026-07-07T07:47:48Z | |
| dc.date.available | 2026-07-07T07:47:48Z | |
| dc.description | We prove that if G is a discrete group that admits a metrically proper action on a finite-dimensional CAT(0) cube complex X, then G is weakly amenable. We do this by constructing uniformly bounded Hilbert space representations for which the quantities z^{l(g)} are matrix coefficients. Here l is a length function on G obtained from the combinatorial distance function on the complex X. | |
| dc.description | 22 pages | |
| dc.identifier | https://arxiv.org/abs/math/0702568 | |
| dc.identifier | http://arxiv.org/abs/math/0702568 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/124292 | |
| dc.subject | Operator Algebras | |
| dc.subject | Group Theory | |
| dc.subject | 46L99 (Primary) 22D99, 20F65 (Secondary) | |
| dc.title | Weak amenability of CAT(0) cubical groups | |
| dc.type | text |