Ring isomorphisms of Murray--von Neumann algebras

Abstract

We give a complete description of ring isomorphisms between algebras of measurable operators affiliated with von Neumann algebras of type II${}_1.$

arXiv comment21 pages

References in corpus (2)

• Lattice isomorphisms between projection lattices of von Neumann algebras
• Interpolation between $L_0(\mathcal{M},\tau )$ and $L_{\infty }(\mathcal{M},\tau )$

Cited by in corpus (1)

• On regular ${}^{\ast }$-algebras of bounded linear operators: A new approach towards a theory of noncommutative Boolean algebras