Representations and operations on reflexive subspace lattices
Wei Yuan, Chengjun Hou, GuangFeng CHEN, Aiju Dong · Scientia Sinica Mathematica · 2012
We show that the reflexivity of a subspace lattice in a von Neumann algebra is preserved under *-isomorphism of the von Neumann algebra. A new operation, semi free product, of von Neumann algebras is introduced to study subspace lattices. Under this operation, the new subspace lattice is isomorphic to the direct product of the corresponding subspace lattices.