On the split property for inclusions of $W^{*}$-algebras

Francesco Fidaleo
2001 Proceedings of the American Mathematical Society  
A characterization of the quasi-split property for an inclusion of W * -algebras in terms of the metrically nuclear maps is established. This result extends the known characterization relative to inclusions of W * -factors. An application to type I von Neumann algebras is also presented.
doi:10.1090/s0002-9939-01-06154-8 fatcat:ksas56blc5a33jirjna4bfvmdq