Let G be a semisimple Lie algebra over an algebraically closed field K of characteristic 0, G₁ a subalgebra of G with rank G₁ = rank G. We prove that a nilpotent element regular in G₁ is semiregular ...

Let M be a von Neumann algebra, φ be a faithful, normal semifinite weight on M and Mφ its centralizer. We characterize the conditional expectations Eφ : M → Mφ of finite index for a faithful normal ...