A characterization of orthogonal vector fields over ${\mathbf{W}}^{\ast }$-algebras of type ${\mathbf{I}}_2$

G. D. Lugovaya, A. N. Sherstnev

In the paper we give a characterization of a $w^{\ast }$-continuous orthogonal vector field $F$ over an $W^{\ast }$-algebra $\mathcal{N}$ of type $I_2$ in terms of reductions $F$ on the center…