Continuous derivations on -algebras of τ-measurable operators are inner

It is proved that every continuous derivation on the *-algebra S ( M, τ ) of all τ -measurable operators affiliated with a von Neumann algebra M is inner. For every properly infinite von Neumann algebra M , any derivation on the *-algebra S ( M, τ ) is inner.

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Bibliographische Detailangaben
Veröffentlicht in:	Mathematical Notes 2013-05, Vol.93 (5-6), p.654-659
1. Verfasser:	Ber, A. F.
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics Mathematics and Statistics
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	It is proved that every continuous derivation on the -algebra S ( M, τ ) of all τ -measurable operators affiliated with a von Neumann algebra M is inner. For every properly infinite von Neumann algebra M , any derivation on the -algebra S ( M, τ ) is inner.
ISSN:	0001-4346 1573-8876
DOI:	10.1134/S0001434613050027