21 citations · 32 across the 8 of their papers we have counts for
10 papers
The Margulis Zimmer Conjecture for Nonuniform Arithmetic Groups
Yehuda Shalom, Tyakal Venkataramana, George Willis
We prove that every infinite subgroup of a higher rank irreducible lattice in a semi-simple Lie group has finite index in the lattice, proving the Margulis-Zimmer conjecture for th…
Entropy, Ultralimits and the Poisson boundary
Elad Sayag, Yehuda Shalom
In this paper we introduce for a group the notion of ultralimit of measure class preserving actions of it, and show that its Furstenberg-Poisson boundaries can be obtained as a…
Norm rigidity for arithmetic and profinite groups
Leonid Polterovich, Yehuda Shalom, Zvi Shem-Tov
Let be a commutative ring, and assume every non-trivial ideal of has finite-index. We show that if has bounded elementary generation then every conjugation…
A Normal Subgroup Theorem for Commensurators of Lattices
Darren Creutz, Yehuda Shalom
We establish a general normal subgroup theorem for commensurators of lattices in locally compact groups. While the statement is completely elementary, its proof, which rests on the…
Rigidity for equivalence relations on homogeneous spaces
Adrian Ioana, Yehuda Shalom
We study Popa's notion of rigidity for equivalence relations induced by actions on homogeneous spaces. For any lattices in a semisimple Lie group with finite center and n…
Commensurated subgroups of arithmetic groups, totally disconnected groups and adelic rigidity
Yehuda Shalom, George A. Willis
Investigations into and around a 30-year old conjecture of Gregory Margulis and Robert Zimmer on the commensurated subgroups of S-arithmetic groups.