We present a procedure of group cubization: it results in a group whose features resemble some of those of a given group and which acts without fixed points on a cubical complex. As a main application, we establish the lack of Kazhdan’s property (T)for Burnside groups.
Damian Osajda. "Group cubization." Duke Math. J. 167 (6) 1049 - 1055, 15 April 2018. https://doi.org/10.1215/00127094-2017-0051