Remarks on the Murray-von Neumann Equivalence of Projections

Abstract

In this paper, we characterize Murray-von Neumann equivalent projections. We also investigate and compare the relationship between the Murray von Neumann relation and other equivalence relations on the set P (B (H)) of orthogonal projections in the von Neumann algebra B (H).

Link
https://doi.org/10.9734/jamcs/2023/v38i11740