Complete orthogonal decomposition homomorphisms between matrix ordered Hilbert spaces
Yasuhide Miura, Kiminao Nishiyama · Proceedings of the American Mathematical Society · 2000
The purpose of this paper is to show that a complete order homomorphism and a complete orthogonal decomposition homomorphism between the non-commutative L 2 L^{2} -spaces induce respectively an isomorphism and a ∗ * -isomorphism between the associated reduced von Neumann algebras.