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math.GR2026
The geometry of triples of antipodal ideal chambers of affine buildings
Corina Ciobotaru, Corentin Le Bars
In this article, we investigate two notions of genericity for triples of antipodal ideal chambers in a locally finite affine building : one defined at the ideal boundary $X^{\in…
math.RT2026
Covers of Bruhat-Tits trees
Corina Ciobotaru, Peter Vang Uttenthal
Let be a locally compact group and let be a central extension that splits over a maximal compact subgroup of . We derive an explicit cocycle that lifts t…
math.GR2026
Dynamical boundaries of affine buildings: C*-simplicity and Poisson boundaries
Corina Ciobotaru, Corentin Le Bars
We investigate a class of groups acting on possibly exotic affine buildings and possessing good proximal properties. Such groups are termed of general type, and their dynamics…