The linking von Neumann algebras of W*-TROs
arXiv:2407.10154
Abstract
In this note, we show that a von Neumann algebra can be written as the linking von Neumann algebra of a W*-TRO if and only if it contains no abelian direct summand. We also provide some new characterizations of nuclear TROs and -exact TROs in terms of the properties of their linking algebras.
8 pages, to appear in Annals of Mathematical Sciences and Applications