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math.GR2024
Property (T) for groups acting on affine buildings
Izhar Oppenheim
We prove that a group acting geometrically on a thick affine building has property (T). A more general criterion for property (T) is given for groups acting on partite complexes.
math.GR2023
Banach fixed point property for Steinberg groups over commutative rings
Izhar Oppenheim
The main result of this paper is that all affine isometric actions of higher rank Steinberg groups over commutative rings on uniformly convex Banach spaces have a fixed point. We c…
math.GR2018
Non p-norm approximated Groups
Alexander Lubotzky, Izhar Oppenheim
It was shown in a previous work of the first named author with De Chiffre, Glebsky and Thom that there exists a finitely presented group which cannot be approximated by almost-homo…