Dipartimento di Matematica and Centro Interdisciplinare Vito Volterra, II Università di Roma ``Tor Vergata', Via della Ricerca Scientifica, 00133 Roma, Italy
Abstract:
A characterization of the quasi-split property for an inclusion of -algebras in terms of the metrically nuclear maps is established. This result extends the known characterization relative to inclusions of -factors. An application to type von Neumann algebras is also presented.