The order topology on duals of C${}^{\ast }$-algebras and von Neumann algebras

Emmanuel Chetcuti, Jan Hamhalter

For a von Neumann algebra $\mathcal{M}$ we study the order topology associated with the hermitian part ${\mathcal{M}}_{\ast }^s$ and to intervals of the predual ${\mathcal{M}}_{\ast }$. It is shown t…