Malnormal subgroups of lattices and the Pukanszky invariant in group factors

الأصل · EN

Let G be a connected semisimple real algebraic group. Assume that G(R) has no compact factors and let Γ be a torsion-free uniform lattice subgroup of G(R). Then Γ contains a malnormal abelian subgroup A. This implies that the factor (Γ) contains a masa A with Pukánszky invariant {∞}.