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On the split property for inclusions of -algebras
Authors:Francesco Fidaleo
Affiliation: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 $W^*$-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.

Keywords:Classifications  factors  linear spaces of operators
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