Selflessness, MIF and opposition in groups acting on exotic buildings
Corentin Le Bars, Elyasheev Leibtag, Itamar Vigdorovich
Abstract
We prove that groups acting freely and cocompactly on (possibly exotic) affine buildings of type A2 and C2 are mixed-identity free and have selfless reduced C*-algebras. These results follow from a strong form of ping-pong dynamics that we call 'transversal contractivity'. Our main geometric result regards domesticity properties of elements in the associated polygons at infinity: we prove that, in our context, the opposite geometry of a hyperbolic element is topologically large.
Create a lesson
Related papers
An order automorphism of a Dlab group not induced by conjugation
Ting Gong, Yong Yang, Michael Ruofan Zeng
Finite groups with large power-avoiding subsets
Simon R. Blackburn, Sarah B. Hart, Daniel McVeagh
Involution and Commutator Length in PU(n,1)
Zhongqi Wang, Shihai Yang
Quandles associated with group actions
Ryoya Kai
Uncountably many local isomorphism types of compactly generated simple groups
Ilaria Castellano, Jorge Fariña-Asategui, Mikel Eguzki Garciarena et al.
A classification of finite simply reducible groups of order at most 2000
Yongzhi Luan